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Finding the Fourth Proportional to 686.09, 1,024.32 and 576.74

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Solution

The fourth proportional to 686.09, 1,024.32 and 576.74 is: 861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.09 : 1,024.32 = 576.74 : x
  2. Step 2: Convert to fraction form
    686.09/1,024.32 = 576.74/x
  3. Step 3: Cross multiply
    686.09x = 1,024.32 × 576.74
  4. Step 4: Simplify right side
    686.09x = 590,761.20
  5. Step 5: Solve for x
    x = 590,761.20/686.09
  6. Step 6: Final answer
    x = 861.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.