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Finding the Fourth Proportional to 724.29, 1,085.13 and 609.45

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Solution

The fourth proportional to 724.29, 1,085.13 and 609.45 is: 913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.29 : 1,085.13 = 609.45 : x
  2. Step 2: Convert to fraction form
    724.29/1,085.13 = 609.45/x
  3. Step 3: Cross multiply
    724.29x = 1,085.13 × 609.45
  4. Step 4: Simplify right side
    724.29x = 661,332.48
  5. Step 5: Solve for x
    x = 661,332.48/724.29
  6. Step 6: Final answer
    x = 913.08

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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.