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Finding the Fourth Proportional to 728.76, 1,003.49 and 652.90

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Solution

The fourth proportional to 728.76, 1,003.49 and 652.90 is: 899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,003.49 = 652.90 : x
  2. Step 2: Convert to fraction form
    728.76/1,003.49 = 652.90/x
  3. Step 3: Cross multiply
    728.76x = 1,003.49 × 652.90
  4. Step 4: Simplify right side
    728.76x = 655,178.62
  5. Step 5: Solve for x
    x = 655,178.62/728.76
  6. Step 6: Final answer
    x = 899.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.