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Finding the Fourth Proportional to 1,176.73, 1,765.07 and 311.05

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Solution

The fourth proportional to 1,176.73, 1,765.07 and 311.05 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.73 : 1,765.07 = 311.05 : x
  2. Step 2: Convert to fraction form
    1,176.73/1,765.07 = 311.05/x
  3. Step 3: Cross multiply
    1,176.73x = 1,765.07 × 311.05
  4. Step 4: Simplify right side
    1,176.73x = 549,023.47
  5. Step 5: Solve for x
    x = 549,023.47/1,176.73
  6. Step 6: Final answer
    x = 466.57

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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.