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Finding the Fourth Proportional to 686.28, 1,025.43 and 563.16

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Solution

The fourth proportional to 686.28, 1,025.43 and 563.16 is: 841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.28 : 1,025.43 = 563.16 : x
  2. Step 2: Convert to fraction form
    686.28/1,025.43 = 563.16/x
  3. Step 3: Cross multiply
    686.28x = 1,025.43 × 563.16
  4. Step 4: Simplify right side
    686.28x = 577,481.16
  5. Step 5: Solve for x
    x = 577,481.16/686.28
  6. Step 6: Final answer
    x = 841.47

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1.5x scale

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.