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Finding the Fourth Proportional to 927.96, 1,391.90 and 576.66

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Solution

The fourth proportional to 927.96, 1,391.90 and 576.66 is: 864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.96 : 1,391.90 = 576.66 : x
  2. Step 2: Convert to fraction form
    927.96/1,391.90 = 576.66/x
  3. Step 3: Cross multiply
    927.96x = 1,391.90 × 576.66
  4. Step 4: Simplify right side
    927.96x = 802,653.05
  5. Step 5: Solve for x
    x = 802,653.05/927.96
  6. Step 6: Final answer
    x = 864.97

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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.