Home / 1,033.20-1,427.04-824.13

Finding the Fourth Proportional to 1,033.20, 1,427.04 and 824.13

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Solution

The fourth proportional to 1,033.20, 1,427.04 and 824.13 is: 1,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.20 : 1,427.04 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,033.20/1,427.04 = 824.13/x
  3. Step 3: Cross multiply
    1,033.20x = 1,427.04 × 824.13
  4. Step 4: Simplify right side
    1,033.20x = 1,176,066.48
  5. Step 5: Solve for x
    x = 1,176,066.48/1,033.20
  6. Step 6: Final answer
    x = 1,138.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.