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Finding the Fourth Proportional to 697.70, 1,042.18 and 694.46

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Solution

The fourth proportional to 697.70, 1,042.18 and 694.46 is: 1,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.70 : 1,042.18 = 694.46 : x
  2. Step 2: Convert to fraction form
    697.70/1,042.18 = 694.46/x
  3. Step 3: Cross multiply
    697.70x = 1,042.18 × 694.46
  4. Step 4: Simplify right side
    697.70x = 723,752.32
  5. Step 5: Solve for x
    x = 723,752.32/697.70
  6. Step 6: Final answer
    x = 1,037.34

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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.