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Finding the Fourth Proportional to 1,472.53, 2,209.41 and 779.05

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Solution

The fourth proportional to 1,472.53, 2,209.41 and 779.05 is: 1,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.53 : 2,209.41 = 779.05 : x
  2. Step 2: Convert to fraction form
    1,472.53/2,209.41 = 779.05/x
  3. Step 3: Cross multiply
    1,472.53x = 2,209.41 × 779.05
  4. Step 4: Simplify right side
    1,472.53x = 1,721,240.86
  5. Step 5: Solve for x
    x = 1,721,240.86/1,472.53
  6. Step 6: Final answer
    x = 1,168.90

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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.