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Finding the Fourth Proportional to 1,459.75, 2,189.15 and 485.59

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Solution

The fourth proportional to 1,459.75, 2,189.15 and 485.59 is: 728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.75 : 2,189.15 = 485.59 : x
  2. Step 2: Convert to fraction form
    1,459.75/2,189.15 = 485.59/x
  3. Step 3: Cross multiply
    1,459.75x = 2,189.15 × 485.59
  4. Step 4: Simplify right side
    1,459.75x = 1,063,029.35
  5. Step 5: Solve for x
    x = 1,063,029.35/1,459.75
  6. Step 6: Final answer
    x = 728.23

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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.