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Finding the Fourth Proportional to 714.12, 1,076.70 and 571.56

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Solution

The fourth proportional to 714.12, 1,076.70 and 571.56 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.12 : 1,076.70 = 571.56 : x
  2. Step 2: Convert to fraction form
    714.12/1,076.70 = 571.56/x
  3. Step 3: Cross multiply
    714.12x = 1,076.70 × 571.56
  4. Step 4: Simplify right side
    714.12x = 615,398.65
  5. Step 5: Solve for x
    x = 615,398.65/714.12
  6. Step 6: Final answer
    x = 861.76

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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.