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Finding the Fourth Proportional to 606.38, 907.31 and 507.83

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Solution

The fourth proportional to 606.38, 907.31 and 507.83 is: 759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.38 : 907.31 = 507.83 : x
  2. Step 2: Convert to fraction form
    606.38/907.31 = 507.83/x
  3. Step 3: Cross multiply
    606.38x = 907.31 × 507.83
  4. Step 4: Simplify right side
    606.38x = 460,758.97
  5. Step 5: Solve for x
    x = 460,758.97/606.38
  6. Step 6: Final answer
    x = 759.85

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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.