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Finding the Fourth Proportional to 732.54, 1,015.08 and 723.63

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Solution

The fourth proportional to 732.54, 1,015.08 and 723.63 is: 1,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.54 : 1,015.08 = 723.63 : x
  2. Step 2: Convert to fraction form
    732.54/1,015.08 = 723.63/x
  3. Step 3: Cross multiply
    732.54x = 1,015.08 × 723.63
  4. Step 4: Simplify right side
    732.54x = 734,542.34
  5. Step 5: Solve for x
    x = 734,542.34/732.54
  6. Step 6: Final answer
    x = 1,002.73

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1.5x scale

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.