Home / 1,023.20-1,534.34-292.61

Finding the Fourth Proportional to 1,023.20, 1,534.34 and 292.61

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Solution

The fourth proportional to 1,023.20, 1,534.34 and 292.61 is: 438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,534.34 = 292.61 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,534.34 = 292.61/x
  3. Step 3: Cross multiply
    1,023.20x = 1,534.34 × 292.61
  4. Step 4: Simplify right side
    1,023.20x = 448,963.23
  5. Step 5: Solve for x
    x = 448,963.23/1,023.20
  6. Step 6: Final answer
    x = 438.78

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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.