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Finding the Fourth Proportional to 1,474.61, 2,211.91 and 744.80

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Solution

The fourth proportional to 1,474.61, 2,211.91 and 744.80 is: 1,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.61 : 2,211.91 = 744.80 : x
  2. Step 2: Convert to fraction form
    1,474.61/2,211.91 = 744.80/x
  3. Step 3: Cross multiply
    1,474.61x = 2,211.91 × 744.80
  4. Step 4: Simplify right side
    1,474.61x = 1,647,430.57
  5. Step 5: Solve for x
    x = 1,647,430.57/1,474.61
  6. Step 6: Final answer
    x = 1,117.20

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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.