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Finding the Fourth Proportional to 740.57, 1,112.11 and 711.14

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Solution

The fourth proportional to 740.57, 1,112.11 and 711.14 is: 1,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.57 : 1,112.11 = 711.14 : x
  2. Step 2: Convert to fraction form
    740.57/1,112.11 = 711.14/x
  3. Step 3: Cross multiply
    740.57x = 1,112.11 × 711.14
  4. Step 4: Simplify right side
    740.57x = 790,865.91
  5. Step 5: Solve for x
    x = 790,865.91/740.57
  6. Step 6: Final answer
    x = 1,067.92

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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.