Home / 1,023.39-1,534.97-292.95

Finding the Fourth Proportional to 1,023.39, 1,534.97 and 292.95

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Solution

The fourth proportional to 1,023.39, 1,534.97 and 292.95 is: 439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.39 : 1,534.97 = 292.95 : x
  2. Step 2: Convert to fraction form
    1,023.39/1,534.97 = 292.95/x
  3. Step 3: Cross multiply
    1,023.39x = 1,534.97 × 292.95
  4. Step 4: Simplify right side
    1,023.39x = 449,668.00
  5. Step 5: Solve for x
    x = 449,668.00/1,023.39
  6. Step 6: Final answer
    x = 439.39

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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.