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Finding the Fourth Proportional to 685.60, 1,030.82 and 565.72

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Solution

The fourth proportional to 685.60, 1,030.82 and 565.72 is: 850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.60 : 1,030.82 = 565.72 : x
  2. Step 2: Convert to fraction form
    685.60/1,030.82 = 565.72/x
  3. Step 3: Cross multiply
    685.60x = 1,030.82 × 565.72
  4. Step 4: Simplify right side
    685.60x = 583,155.49
  5. Step 5: Solve for x
    x = 583,155.49/685.60
  6. Step 6: Final answer
    x = 850.58

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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.