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Finding the Fourth Proportional to 1,659.45, 2,489.19 and 563.67

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Solution

The fourth proportional to 1,659.45, 2,489.19 and 563.67 is: 845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.45 : 2,489.19 = 563.67 : x
  2. Step 2: Convert to fraction form
    1,659.45/2,489.19 = 563.67/x
  3. Step 3: Cross multiply
    1,659.45x = 2,489.19 × 563.67
  4. Step 4: Simplify right side
    1,659.45x = 1,403,081.73
  5. Step 5: Solve for x
    x = 1,403,081.73/1,659.45
  6. Step 6: Final answer
    x = 845.51

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,660.45, 2,490.69 and 564.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.