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Finding the Fourth Proportional to 463.24, 694.98 and 385.78

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Solution

The fourth proportional to 463.24, 694.98 and 385.78 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 694.98 = 385.78 : x
  2. Step 2: Convert to fraction form
    463.24/694.98 = 385.78/x
  3. Step 3: Cross multiply
    463.24x = 694.98 × 385.78
  4. Step 4: Simplify right side
    463.24x = 268,109.38
  5. Step 5: Solve for x
    x = 268,109.38/463.24
  6. Step 6: Final answer
    x = 578.77

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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.