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Finding the Fourth Proportional to 477.29, 658.33 and 352.96

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Solution

The fourth proportional to 477.29, 658.33 and 352.96 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.29 : 658.33 = 352.96 : x
  2. Step 2: Convert to fraction form
    477.29/658.33 = 352.96/x
  3. Step 3: Cross multiply
    477.29x = 658.33 × 352.96
  4. Step 4: Simplify right side
    477.29x = 232,361.63
  5. Step 5: Solve for x
    x = 232,361.63/477.29
  6. Step 6: Final answer
    x = 486.83

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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.