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Finding the Fourth Proportional to 424.91, 637.63 and 270.95

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Solution

The fourth proportional to 424.91, 637.63 and 270.95 is: 406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.91 : 637.63 = 270.95 : x
  2. Step 2: Convert to fraction form
    424.91/637.63 = 270.95/x
  3. Step 3: Cross multiply
    424.91x = 637.63 × 270.95
  4. Step 4: Simplify right side
    424.91x = 172,763.89
  5. Step 5: Solve for x
    x = 172,763.89/424.91
  6. Step 6: Final answer
    x = 406.59

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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.