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Finding the Fourth Proportional to 1,055.20, 1,579.65 and 781.49

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Solution

The fourth proportional to 1,055.20, 1,579.65 and 781.49 is: 1,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.20 : 1,579.65 = 781.49 : x
  2. Step 2: Convert to fraction form
    1,055.20/1,579.65 = 781.49/x
  3. Step 3: Cross multiply
    1,055.20x = 1,579.65 × 781.49
  4. Step 4: Simplify right side
    1,055.20x = 1,234,472.78
  5. Step 5: Solve for x
    x = 1,234,472.78/1,055.20
  6. Step 6: Final answer
    x = 1,169.90

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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.