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Finding the Fourth Proportional to 637.74, 880.16 and 385.83

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Solution

The fourth proportional to 637.74, 880.16 and 385.83 is: 532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.74 : 880.16 = 385.83 : x
  2. Step 2: Convert to fraction form
    637.74/880.16 = 385.83/x
  3. Step 3: Cross multiply
    637.74x = 880.16 × 385.83
  4. Step 4: Simplify right side
    637.74x = 339,590.20
  5. Step 5: Solve for x
    x = 339,590.20/637.74
  6. Step 6: Final answer
    x = 532.49

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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.