Home / 1,023.14-1,534.45-292.72

Finding the Fourth Proportional to 1,023.14, 1,534.45 and 292.72

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Solution

The fourth proportional to 1,023.14, 1,534.45 and 292.72 is: 439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.14 : 1,534.45 = 292.72 : x
  2. Step 2: Convert to fraction form
    1,023.14/1,534.45 = 292.72/x
  3. Step 3: Cross multiply
    1,023.14x = 1,534.45 × 292.72
  4. Step 4: Simplify right side
    1,023.14x = 449,164.20
  5. Step 5: Solve for x
    x = 449,164.20/1,023.14
  6. Step 6: Final answer
    x = 439.01

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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.