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Finding the Fourth Proportional to 637.57, 878.65 and 497.46

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Solution

The fourth proportional to 637.57, 878.65 and 497.46 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.57 : 878.65 = 497.46 : x
  2. Step 2: Convert to fraction form
    637.57/878.65 = 497.46/x
  3. Step 3: Cross multiply
    637.57x = 878.65 × 497.46
  4. Step 4: Simplify right side
    637.57x = 437,093.23
  5. Step 5: Solve for x
    x = 437,093.23/637.57
  6. Step 6: Final answer
    x = 685.56

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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.