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Finding the Fourth Proportional to 743.52, 1,031.52 and 737.04

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Solution

The fourth proportional to 743.52, 1,031.52 and 737.04 is: 1,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.52 : 1,031.52 = 737.04 : x
  2. Step 2: Convert to fraction form
    743.52/1,031.52 = 737.04/x
  3. Step 3: Cross multiply
    743.52x = 1,031.52 × 737.04
  4. Step 4: Simplify right side
    743.52x = 760,271.50
  5. Step 5: Solve for x
    x = 760,271.50/743.52
  6. Step 6: Final answer
    x = 1,022.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.