Home / 1,023.20-1,535.06-292.83

Finding the Fourth Proportional to 1,023.20, 1,535.06 and 292.83

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Solution

The fourth proportional to 1,023.20, 1,535.06 and 292.83 is: 439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,535.06 = 292.83 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,535.06 = 292.83/x
  3. Step 3: Cross multiply
    1,023.20x = 1,535.06 × 292.83
  4. Step 4: Simplify right side
    1,023.20x = 449,512.35
  5. Step 5: Solve for x
    x = 449,512.35/1,023.20
  6. Step 6: Final answer
    x = 439.32

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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.