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Finding the Fourth Proportional to 637.26, 880.56 and 497.73

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Solution

The fourth proportional to 637.26, 880.56 and 497.73 is: 687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.26 : 880.56 = 497.73 : x
  2. Step 2: Convert to fraction form
    637.26/880.56 = 497.73/x
  3. Step 3: Cross multiply
    637.26x = 880.56 × 497.73
  4. Step 4: Simplify right side
    637.26x = 438,281.13
  5. Step 5: Solve for x
    x = 438,281.13/637.26
  6. Step 6: Final answer
    x = 687.76

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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.