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Finding the Fourth Proportional to 686.47, 1,030.92 and 565.60

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Solution

The fourth proportional to 686.47, 1,030.92 and 565.60 is: 849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.47 : 1,030.92 = 565.60 : x
  2. Step 2: Convert to fraction form
    686.47/1,030.92 = 565.60/x
  3. Step 3: Cross multiply
    686.47x = 1,030.92 × 565.60
  4. Step 4: Simplify right side
    686.47x = 583,088.35
  5. Step 5: Solve for x
    x = 583,088.35/686.47
  6. Step 6: Final answer
    x = 849.40

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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.