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Finding the Fourth Proportional to 424.59, 637.49 and 278.38

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Solution

The fourth proportional to 424.59, 637.49 and 278.38 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.59 : 637.49 = 278.38 : x
  2. Step 2: Convert to fraction form
    424.59/637.49 = 278.38/x
  3. Step 3: Cross multiply
    424.59x = 637.49 × 278.38
  4. Step 4: Simplify right side
    424.59x = 177,464.47
  5. Step 5: Solve for x
    x = 177,464.47/424.59
  6. Step 6: Final answer
    x = 417.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.