Home / 1,023.20-1,534.64-329.76

Finding the Fourth Proportional to 1,023.20, 1,534.64 and 329.76

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Solution

The fourth proportional to 1,023.20, 1,534.64 and 329.76 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,534.64 = 329.76 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,534.64 = 329.76/x
  3. Step 3: Cross multiply
    1,023.20x = 1,534.64 × 329.76
  4. Step 4: Simplify right side
    1,023.20x = 506,061.24
  5. Step 5: Solve for x
    x = 506,061.24/1,023.20
  6. Step 6: Final answer
    x = 494.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.