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Finding the Fourth Proportional to 714.13, 1,076.71 and 571.57

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Solution

The fourth proportional to 714.13, 1,076.71 and 571.57 is: 861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.13 : 1,076.71 = 571.57 : x
  2. Step 2: Convert to fraction form
    714.13/1,076.71 = 571.57/x
  3. Step 3: Cross multiply
    714.13x = 1,076.71 × 571.57
  4. Step 4: Simplify right side
    714.13x = 615,415.13
  5. Step 5: Solve for x
    x = 615,415.13/714.13
  6. Step 6: Final answer
    x = 861.77

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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.