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Finding the Fourth Proportional to 463.67, 694.12 and 280.51

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Solution

The fourth proportional to 463.67, 694.12 and 280.51 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.67 : 694.12 = 280.51 : x
  2. Step 2: Convert to fraction form
    463.67/694.12 = 280.51/x
  3. Step 3: Cross multiply
    463.67x = 694.12 × 280.51
  4. Step 4: Simplify right side
    463.67x = 194,702.73
  5. Step 5: Solve for x
    x = 194,702.73/463.67
  6. Step 6: Final answer
    x = 419.92

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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.