Home / 1,023.29-1,534.42-320.39

Finding the Fourth Proportional to 1,023.29, 1,534.42 and 320.39

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Solution

The fourth proportional to 1,023.29, 1,534.42 and 320.39 is: 480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.29 : 1,534.42 = 320.39 : x
  2. Step 2: Convert to fraction form
    1,023.29/1,534.42 = 320.39/x
  3. Step 3: Cross multiply
    1,023.29x = 1,534.42 × 320.39
  4. Step 4: Simplify right side
    1,023.29x = 491,612.82
  5. Step 5: Solve for x
    x = 491,612.82/1,023.29
  6. Step 6: Final answer
    x = 480.42

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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.