Home / 1,162.40-1,743.26-431.55

Finding the Fourth Proportional to 1,162.40, 1,743.26 and 431.55

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Solution

The fourth proportional to 1,162.40, 1,743.26 and 431.55 is: 647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.40 : 1,743.26 = 431.55 : x
  2. Step 2: Convert to fraction form
    1,162.40/1,743.26 = 431.55/x
  3. Step 3: Cross multiply
    1,162.40x = 1,743.26 × 431.55
  4. Step 4: Simplify right side
    1,162.40x = 752,301.70
  5. Step 5: Solve for x
    x = 752,301.70/1,162.40
  6. Step 6: Final answer
    x = 647.20

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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.