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Finding the Fourth Proportional to 742.20, 1,112.79 and 534.09

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Solution

The fourth proportional to 742.20, 1,112.79 and 534.09 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,112.79 = 534.09 : x
  2. Step 2: Convert to fraction form
    742.20/1,112.79 = 534.09/x
  3. Step 3: Cross multiply
    742.20x = 1,112.79 × 534.09
  4. Step 4: Simplify right side
    742.20x = 594,330.01
  5. Step 5: Solve for x
    x = 594,330.01/742.20
  6. Step 6: Final answer
    x = 800.77

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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.