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Finding the Fourth Proportional to 617.73, 922.12 and 525.42

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Solution

The fourth proportional to 617.73, 922.12 and 525.42 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.73 : 922.12 = 525.42 : x
  2. Step 2: Convert to fraction form
    617.73/922.12 = 525.42/x
  3. Step 3: Cross multiply
    617.73x = 922.12 × 525.42
  4. Step 4: Simplify right side
    617.73x = 484,498.98
  5. Step 5: Solve for x
    x = 484,498.98/617.73
  6. Step 6: Final answer
    x = 784.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.