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Finding the Fourth Proportional to 714.17, 1,066.06 and 697.97

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Solution

The fourth proportional to 714.17, 1,066.06 and 697.97 is: 1,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.17 : 1,066.06 = 697.97 : x
  2. Step 2: Convert to fraction form
    714.17/1,066.06 = 697.97/x
  3. Step 3: Cross multiply
    714.17x = 1,066.06 × 697.97
  4. Step 4: Simplify right side
    714.17x = 744,077.90
  5. Step 5: Solve for x
    x = 744,077.90/714.17
  6. Step 6: Final answer
    x = 1,041.88

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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.