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Finding the Fourth Proportional to 1,475.87, 2,211.97 and 745.04

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Solution

The fourth proportional to 1,475.87, 2,211.97 and 745.04 is: 1,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.87 : 2,211.97 = 745.04 : x
  2. Step 2: Convert to fraction form
    1,475.87/2,211.97 = 745.04/x
  3. Step 3: Cross multiply
    1,475.87x = 2,211.97 × 745.04
  4. Step 4: Simplify right side
    1,475.87x = 1,648,006.13
  5. Step 5: Solve for x
    x = 1,648,006.13/1,475.87
  6. Step 6: Final answer
    x = 1,116.63

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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.