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Finding the Fourth Proportional to 752.10, 1,031.30 and 726.05

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Solution

The fourth proportional to 752.10, 1,031.30 and 726.05 is: 995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.10 : 1,031.30 = 726.05 : x
  2. Step 2: Convert to fraction form
    752.10/1,031.30 = 726.05/x
  3. Step 3: Cross multiply
    752.10x = 1,031.30 × 726.05
  4. Step 4: Simplify right side
    752.10x = 748,766.58
  5. Step 5: Solve for x
    x = 748,766.58/752.10
  6. Step 6: Final answer
    x = 995.57

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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.