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Finding the Fourth Proportional to 801.86, 1,204.47 and 712.46

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Solution

The fourth proportional to 801.86, 1,204.47 and 712.46 is: 1,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.86 : 1,204.47 = 712.46 : x
  2. Step 2: Convert to fraction form
    801.86/1,204.47 = 712.46/x
  3. Step 3: Cross multiply
    801.86x = 1,204.47 × 712.46
  4. Step 4: Simplify right side
    801.86x = 858,136.70
  5. Step 5: Solve for x
    x = 858,136.70/801.86
  6. Step 6: Final answer
    x = 1,070.18

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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.