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Finding the Fourth Proportional to 927.17, 1,390.97 and 407.15

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Solution

The fourth proportional to 927.17, 1,390.97 and 407.15 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.17 : 1,390.97 = 407.15 : x
  2. Step 2: Convert to fraction form
    927.17/1,390.97 = 407.15/x
  3. Step 3: Cross multiply
    927.17x = 1,390.97 × 407.15
  4. Step 4: Simplify right side
    927.17x = 566,333.44
  5. Step 5: Solve for x
    x = 566,333.44/927.17
  6. Step 6: Final answer
    x = 610.82

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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.