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Finding the Fourth Proportional to 912.69, 1,366.56 and 478.92

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Solution

The fourth proportional to 912.69, 1,366.56 and 478.92 is: 717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.69 : 1,366.56 = 478.92 : x
  2. Step 2: Convert to fraction form
    912.69/1,366.56 = 478.92/x
  3. Step 3: Cross multiply
    912.69x = 1,366.56 × 478.92
  4. Step 4: Simplify right side
    912.69x = 654,472.92
  5. Step 5: Solve for x
    x = 654,472.92/912.69
  6. Step 6: Final answer
    x = 717.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.