Home / 1,023.41-1,535.16-293.09

Finding the Fourth Proportional to 1,023.41, 1,535.16 and 293.09

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Solution

The fourth proportional to 1,023.41, 1,535.16 and 293.09 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.41 : 1,535.16 = 293.09 : x
  2. Step 2: Convert to fraction form
    1,023.41/1,535.16 = 293.09/x
  3. Step 3: Cross multiply
    1,023.41x = 1,535.16 × 293.09
  4. Step 4: Simplify right side
    1,023.41x = 449,938.13
  5. Step 5: Solve for x
    x = 449,938.13/1,023.41
  6. Step 6: Final answer
    x = 439.65

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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.