Home / 1,023.14-1,534.39-329.66

Finding the Fourth Proportional to 1,023.14, 1,534.39 and 329.66

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Solution

The fourth proportional to 1,023.14, 1,534.39 and 329.66 is: 494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.14 : 1,534.39 = 329.66 : x
  2. Step 2: Convert to fraction form
    1,023.14/1,534.39 = 329.66/x
  3. Step 3: Cross multiply
    1,023.14x = 1,534.39 × 329.66
  4. Step 4: Simplify right side
    1,023.14x = 505,827.76
  5. Step 5: Solve for x
    x = 505,827.76/1,023.14
  6. Step 6: Final answer
    x = 494.39

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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.