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Finding the Fourth Proportional to 714.15, 1,063.71 and 682.56

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Solution

The fourth proportional to 714.15, 1,063.71 and 682.56 is: 1,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.15 : 1,063.71 = 682.56 : x
  2. Step 2: Convert to fraction form
    714.15/1,063.71 = 682.56/x
  3. Step 3: Cross multiply
    714.15x = 1,063.71 × 682.56
  4. Step 4: Simplify right side
    714.15x = 726,045.90
  5. Step 5: Solve for x
    x = 726,045.90/714.15
  6. Step 6: Final answer
    x = 1,016.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.