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Finding the Fourth Proportional to 424.52, 635.74 and 294.15

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Solution

The fourth proportional to 424.52, 635.74 and 294.15 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.52 : 635.74 = 294.15 : x
  2. Step 2: Convert to fraction form
    424.52/635.74 = 294.15/x
  3. Step 3: Cross multiply
    424.52x = 635.74 × 294.15
  4. Step 4: Simplify right side
    424.52x = 187,002.92
  5. Step 5: Solve for x
    x = 187,002.92/424.52
  6. Step 6: Final answer
    x = 440.50

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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.