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Finding the Fourth Proportional to 728.18, 1,086.67 and 650.33

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Solution

The fourth proportional to 728.18, 1,086.67 and 650.33 is: 970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.18 : 1,086.67 = 650.33 : x
  2. Step 2: Convert to fraction form
    728.18/1,086.67 = 650.33/x
  3. Step 3: Cross multiply
    728.18x = 1,086.67 × 650.33
  4. Step 4: Simplify right side
    728.18x = 706,687.04
  5. Step 5: Solve for x
    x = 706,687.04/728.18
  6. Step 6: Final answer
    x = 970.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.