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Finding the Fourth Proportional to 927.92, 1,389.04 and 667.91

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Solution

The fourth proportional to 927.92, 1,389.04 and 667.91 is: 999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.92 : 1,389.04 = 667.91 : x
  2. Step 2: Convert to fraction form
    927.92/1,389.04 = 667.91/x
  3. Step 3: Cross multiply
    927.92x = 1,389.04 × 667.91
  4. Step 4: Simplify right side
    927.92x = 927,753.71
  5. Step 5: Solve for x
    x = 927,753.71/927.92
  6. Step 6: Final answer
    x = 999.82

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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.