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Finding the Fourth Proportional to 609.27, 840.47 and 497.40

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Solution

The fourth proportional to 609.27, 840.47 and 497.40 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.27 : 840.47 = 497.40 : x
  2. Step 2: Convert to fraction form
    609.27/840.47 = 497.40/x
  3. Step 3: Cross multiply
    609.27x = 840.47 × 497.40
  4. Step 4: Simplify right side
    609.27x = 418,047.29
  5. Step 5: Solve for x
    x = 418,047.29/609.27
  6. Step 6: Final answer
    x = 686.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.