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Finding the Fourth Proportional to 437.32, 658.57 and 316.43

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Solution

The fourth proportional to 437.32, 658.57 and 316.43 is: 476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.32 : 658.57 = 316.43 : x
  2. Step 2: Convert to fraction form
    437.32/658.57 = 316.43/x
  3. Step 3: Cross multiply
    437.32x = 658.57 × 316.43
  4. Step 4: Simplify right side
    437.32x = 208,391.31
  5. Step 5: Solve for x
    x = 208,391.31/437.32
  6. Step 6: Final answer
    x = 476.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.