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Finding the Fourth Proportional to 743.04, 1,113.28 and 716.48

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Solution

The fourth proportional to 743.04, 1,113.28 and 716.48 is: 1,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.04 : 1,113.28 = 716.48 : x
  2. Step 2: Convert to fraction form
    743.04/1,113.28 = 716.48/x
  3. Step 3: Cross multiply
    743.04x = 1,113.28 × 716.48
  4. Step 4: Simplify right side
    743.04x = 797,642.85
  5. Step 5: Solve for x
    x = 797,642.85/743.04
  6. Step 6: Final answer
    x = 1,073.49

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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.