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Finding the Fourth Proportional to 613.38, 920.82 and 476.22

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Solution

The fourth proportional to 613.38, 920.82 and 476.22 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 920.82 = 476.22 : x
  2. Step 2: Convert to fraction form
    613.38/920.82 = 476.22/x
  3. Step 3: Cross multiply
    613.38x = 920.82 × 476.22
  4. Step 4: Simplify right side
    613.38x = 438,512.90
  5. Step 5: Solve for x
    x = 438,512.90/613.38
  6. Step 6: Final answer
    x = 714.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.