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Finding the Fourth Proportional to 1,247.34, 1,868.61 and 697.85

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Solution

The fourth proportional to 1,247.34, 1,868.61 and 697.85 is: 1,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.34 : 1,868.61 = 697.85 : x
  2. Step 2: Convert to fraction form
    1,247.34/1,868.61 = 697.85/x
  3. Step 3: Cross multiply
    1,247.34x = 1,868.61 × 697.85
  4. Step 4: Simplify right side
    1,247.34x = 1,304,014.16
  5. Step 5: Solve for x
    x = 1,304,014.16/1,247.34
  6. Step 6: Final answer
    x = 1,045.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.