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Finding the Fourth Proportional to 713.76, 1,069.42 and 576.87

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Solution

The fourth proportional to 713.76, 1,069.42 and 576.87 is: 864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 1,069.42 = 576.87 : x
  2. Step 2: Convert to fraction form
    713.76/1,069.42 = 576.87/x
  3. Step 3: Cross multiply
    713.76x = 1,069.42 × 576.87
  4. Step 4: Simplify right side
    713.76x = 616,916.32
  5. Step 5: Solve for x
    x = 616,916.32/713.76
  6. Step 6: Final answer
    x = 864.32

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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.