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Finding the Fourth Proportional to 463.47, 640.22 and 370.88

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Solution

The fourth proportional to 463.47, 640.22 and 370.88 is: 512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.47 : 640.22 = 370.88 : x
  2. Step 2: Convert to fraction form
    463.47/640.22 = 370.88/x
  3. Step 3: Cross multiply
    463.47x = 640.22 × 370.88
  4. Step 4: Simplify right side
    463.47x = 237,444.73
  5. Step 5: Solve for x
    x = 237,444.73/463.47
  6. Step 6: Final answer
    x = 512.32

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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.