Home / 1,177.20-1,765.38-397.02

Finding the Fourth Proportional to 1,177.20, 1,765.38 and 397.02

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Solution

The fourth proportional to 1,177.20, 1,765.38 and 397.02 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.20 : 1,765.38 = 397.02 : x
  2. Step 2: Convert to fraction form
    1,177.20/1,765.38 = 397.02/x
  3. Step 3: Cross multiply
    1,177.20x = 1,765.38 × 397.02
  4. Step 4: Simplify right side
    1,177.20x = 700,891.17
  5. Step 5: Solve for x
    x = 700,891.17/1,177.20
  6. Step 6: Final answer
    x = 595.39

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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.