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Finding the Fourth Proportional to 1,173.76, 1,760.50 and 308.14

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Solution

The fourth proportional to 1,173.76, 1,760.50 and 308.14 is: 462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.76 : 1,760.50 = 308.14 : x
  2. Step 2: Convert to fraction form
    1,173.76/1,760.50 = 308.14/x
  3. Step 3: Cross multiply
    1,173.76x = 1,760.50 × 308.14
  4. Step 4: Simplify right side
    1,173.76x = 542,470.90
  5. Step 5: Solve for x
    x = 542,470.90/1,173.76
  6. Step 6: Final answer
    x = 462.17

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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.