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Finding the Fourth Proportional to 912.38, 1,369.47 and 479.53

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Solution

The fourth proportional to 912.38, 1,369.47 and 479.53 is: 719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.38 : 1,369.47 = 479.53 : x
  2. Step 2: Convert to fraction form
    912.38/1,369.47 = 479.53/x
  3. Step 3: Cross multiply
    912.38x = 1,369.47 × 479.53
  4. Step 4: Simplify right side
    912.38x = 656,705.46
  5. Step 5: Solve for x
    x = 656,705.46/912.38
  6. Step 6: Final answer
    x = 719.78

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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.