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Finding the Fourth Proportional to 686.56, 1,033.58 and 616

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Solution

The fourth proportional to 686.56, 1,033.58 and 616 is: 927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 1,033.58 = 616 : x
  2. Step 2: Convert to fraction form
    686.56/1,033.58 = 616/x
  3. Step 3: Cross multiply
    686.56x = 1,033.58 × 616
  4. Step 4: Simplify right side
    686.56x = 636,685.28
  5. Step 5: Solve for x
    x = 636,685.28/686.56
  6. Step 6: Final answer
    x = 927.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.