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Finding the Fourth Proportional to 1,177.13, 1,765.56 and 311.42

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Solution

The fourth proportional to 1,177.13, 1,765.56 and 311.42 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.13 : 1,765.56 = 311.42 : x
  2. Step 2: Convert to fraction form
    1,177.13/1,765.56 = 311.42/x
  3. Step 3: Cross multiply
    1,177.13x = 1,765.56 × 311.42
  4. Step 4: Simplify right side
    1,177.13x = 549,830.70
  5. Step 5: Solve for x
    x = 549,830.70/1,177.13
  6. Step 6: Final answer
    x = 467.09

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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.