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Finding the Fourth Proportional to 1,474.69, 2,211.88 and 781.09

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Solution

The fourth proportional to 1,474.69, 2,211.88 and 781.09 is: 1,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.69 : 2,211.88 = 781.09 : x
  2. Step 2: Convert to fraction form
    1,474.69/2,211.88 = 781.09/x
  3. Step 3: Cross multiply
    1,474.69x = 2,211.88 × 781.09
  4. Step 4: Simplify right side
    1,474.69x = 1,727,677.35
  5. Step 5: Solve for x
    x = 1,727,677.35/1,474.69
  6. Step 6: Final answer
    x = 1,171.55

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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.