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Finding the Fourth Proportional to 681.64, 1,020.84 and 527.20

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Solution

The fourth proportional to 681.64, 1,020.84 and 527.20 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.64 : 1,020.84 = 527.20 : x
  2. Step 2: Convert to fraction form
    681.64/1,020.84 = 527.20/x
  3. Step 3: Cross multiply
    681.64x = 1,020.84 × 527.20
  4. Step 4: Simplify right side
    681.64x = 538,186.85
  5. Step 5: Solve for x
    x = 538,186.85/681.64
  6. Step 6: Final answer
    x = 789.55

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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.