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Finding the Fourth Proportional to 622.96, 938.15 and 542.77

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Solution

The fourth proportional to 622.96, 938.15 and 542.77 is: 817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.96 : 938.15 = 542.77 : x
  2. Step 2: Convert to fraction form
    622.96/938.15 = 542.77/x
  3. Step 3: Cross multiply
    622.96x = 938.15 × 542.77
  4. Step 4: Simplify right side
    622.96x = 509,198.32
  5. Step 5: Solve for x
    x = 509,198.32/622.96
  6. Step 6: Final answer
    x = 817.39

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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.