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Finding the Fourth Proportional to 657.60, 907.98 and 500.52

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Solution

The fourth proportional to 657.60, 907.98 and 500.52 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 907.98 = 500.52 : x
  2. Step 2: Convert to fraction form
    657.60/907.98 = 500.52/x
  3. Step 3: Cross multiply
    657.60x = 907.98 × 500.52
  4. Step 4: Simplify right side
    657.60x = 454,462.15
  5. Step 5: Solve for x
    x = 454,462.15/657.60
  6. Step 6: Final answer
    x = 691.09

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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.