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Finding the Fourth Proportional to 463.24, 637.56 and 369.68

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Solution

The fourth proportional to 463.24, 637.56 and 369.68 is: 508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 637.56 = 369.68 : x
  2. Step 2: Convert to fraction form
    463.24/637.56 = 369.68/x
  3. Step 3: Cross multiply
    463.24x = 637.56 × 369.68
  4. Step 4: Simplify right side
    463.24x = 235,693.18
  5. Step 5: Solve for x
    x = 235,693.18/463.24
  6. Step 6: Final answer
    x = 508.79

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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.