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Finding the Fourth Proportional to 1,749.23, 2,623.84 and 653.68

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Solution

The fourth proportional to 1,749.23, 2,623.84 and 653.68 is: 980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.23 : 2,623.84 = 653.68 : x
  2. Step 2: Convert to fraction form
    1,749.23/2,623.84 = 653.68/x
  3. Step 3: Cross multiply
    1,749.23x = 2,623.84 × 653.68
  4. Step 4: Simplify right side
    1,749.23x = 1,715,143.54
  5. Step 5: Solve for x
    x = 1,715,143.54/1,749.23
  6. Step 6: Final answer
    x = 980.51

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Half scale
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Double scale
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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.