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Finding the Fourth Proportional to 927.16, 1,391.28 and 407.27

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Solution

The fourth proportional to 927.16, 1,391.28 and 407.27 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.16 : 1,391.28 = 407.27 : x
  2. Step 2: Convert to fraction form
    927.16/1,391.28 = 407.27/x
  3. Step 3: Cross multiply
    927.16x = 1,391.28 × 407.27
  4. Step 4: Simplify right side
    927.16x = 566,626.61
  5. Step 5: Solve for x
    x = 566,626.61/927.16
  6. Step 6: Final answer
    x = 611.15

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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.