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Finding the Fourth Proportional to 686.56, 1,025.24 and 600.16

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Solution

The fourth proportional to 686.56, 1,025.24 and 600.16 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 1,025.24 = 600.16 : x
  2. Step 2: Convert to fraction form
    686.56/1,025.24 = 600.16/x
  3. Step 3: Cross multiply
    686.56x = 1,025.24 × 600.16
  4. Step 4: Simplify right side
    686.56x = 615,308.04
  5. Step 5: Solve for x
    x = 615,308.04/686.56
  6. Step 6: Final answer
    x = 896.22

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Why These Related Problems?

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