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Finding the Fourth Proportional to 753.49, 1,032.30 and 724.33

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Solution

The fourth proportional to 753.49, 1,032.30 and 724.33 is: 992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.49 : 1,032.30 = 724.33 : x
  2. Step 2: Convert to fraction form
    753.49/1,032.30 = 724.33/x
  3. Step 3: Cross multiply
    753.49x = 1,032.30 × 724.33
  4. Step 4: Simplify right side
    753.49x = 747,725.86
  5. Step 5: Solve for x
    x = 747,725.86/753.49
  6. Step 6: Final answer
    x = 992.35

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1.5x scale

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.