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Finding the Fourth Proportional to 685.67, 1,033.20 and 566.60

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Solution

The fourth proportional to 685.67, 1,033.20 and 566.60 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.67 : 1,033.20 = 566.60 : x
  2. Step 2: Convert to fraction form
    685.67/1,033.20 = 566.60/x
  3. Step 3: Cross multiply
    685.67x = 1,033.20 × 566.60
  4. Step 4: Simplify right side
    685.67x = 585,405.95
  5. Step 5: Solve for x
    x = 585,405.95/685.67
  6. Step 6: Final answer
    x = 853.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.