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Finding the Fourth Proportional to 1,074, 1,480.80 and 864.20

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Solution

The fourth proportional to 1,074, 1,480.80 and 864.20 is: 1,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074 : 1,480.80 = 864.20 : x
  2. Step 2: Convert to fraction form
    1,074/1,480.80 = 864.20/x
  3. Step 3: Cross multiply
    1,074x = 1,480.80 × 864.20
  4. Step 4: Simplify right side
    1,074x = 1,279,707.36
  5. Step 5: Solve for x
    x = 1,279,707.36/1,074
  6. Step 6: Final answer
    x = 1,191.53

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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.