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Finding the Fourth Proportional to 637.73, 880.97 and 527.16

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Solution

The fourth proportional to 637.73, 880.97 and 527.16 is: 728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.73 : 880.97 = 527.16 : x
  2. Step 2: Convert to fraction form
    637.73/880.97 = 527.16/x
  3. Step 3: Cross multiply
    637.73x = 880.97 × 527.16
  4. Step 4: Simplify right side
    637.73x = 464,412.15
  5. Step 5: Solve for x
    x = 464,412.15/637.73
  6. Step 6: Final answer
    x = 728.23

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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.