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Finding the Fourth Proportional to 1,077.80, 1,614.90 and 712.40

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Solution

The fourth proportional to 1,077.80, 1,614.90 and 712.40 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.80 : 1,614.90 = 712.40 : x
  2. Step 2: Convert to fraction form
    1,077.80/1,614.90 = 712.40/x
  3. Step 3: Cross multiply
    1,077.80x = 1,614.90 × 712.40
  4. Step 4: Simplify right side
    1,077.80x = 1,150,454.76
  5. Step 5: Solve for x
    x = 1,150,454.76/1,077.80
  6. Step 6: Final answer
    x = 1,067.41

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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.