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Finding the Fourth Proportional to 743.04, 1,016.52 and 739.92

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Solution

The fourth proportional to 743.04, 1,016.52 and 739.92 is: 1,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.04 : 1,016.52 = 739.92 : x
  2. Step 2: Convert to fraction form
    743.04/1,016.52 = 739.92/x
  3. Step 3: Cross multiply
    743.04x = 1,016.52 × 739.92
  4. Step 4: Simplify right side
    743.04x = 752,143.48
  5. Step 5: Solve for x
    x = 752,143.48/743.04
  6. Step 6: Final answer
    x = 1,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.