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Finding the Fourth Proportional to 686.60, 1,028.38 and 565.10

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Solution

The fourth proportional to 686.60, 1,028.38 and 565.10 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.60 : 1,028.38 = 565.10 : x
  2. Step 2: Convert to fraction form
    686.60/1,028.38 = 565.10/x
  3. Step 3: Cross multiply
    686.60x = 1,028.38 × 565.10
  4. Step 4: Simplify right side
    686.60x = 581,137.54
  5. Step 5: Solve for x
    x = 581,137.54/686.60
  6. Step 6: Final answer
    x = 846.40

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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.