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Finding the Fourth Proportional to 502.62, 692.46 and 475.26

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Solution

The fourth proportional to 502.62, 692.46 and 475.26 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.62 : 692.46 = 475.26 : x
  2. Step 2: Convert to fraction form
    502.62/692.46 = 475.26/x
  3. Step 3: Cross multiply
    502.62x = 692.46 × 475.26
  4. Step 4: Simplify right side
    502.62x = 329,098.54
  5. Step 5: Solve for x
    x = 329,098.54/502.62
  6. Step 6: Final answer
    x = 654.77

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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.