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Finding the Fourth Proportional to 719.20, 1,073.60 and 671.12

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Solution

The fourth proportional to 719.20, 1,073.60 and 671.12 is: 1,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.20 : 1,073.60 = 671.12 : x
  2. Step 2: Convert to fraction form
    719.20/1,073.60 = 671.12/x
  3. Step 3: Cross multiply
    719.20x = 1,073.60 × 671.12
  4. Step 4: Simplify right side
    719.20x = 720,514.43
  5. Step 5: Solve for x
    x = 720,514.43/719.20
  6. Step 6: Final answer
    x = 1,001.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.