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Finding the Fourth Proportional to 657.47, 907.17 and 391.99

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Solution

The fourth proportional to 657.47, 907.17 and 391.99 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.47 : 907.17 = 391.99 : x
  2. Step 2: Convert to fraction form
    657.47/907.17 = 391.99/x
  3. Step 3: Cross multiply
    657.47x = 907.17 × 391.99
  4. Step 4: Simplify right side
    657.47x = 355,601.57
  5. Step 5: Solve for x
    x = 355,601.57/657.47
  6. Step 6: Final answer
    x = 540.86

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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.