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Finding the Fourth Proportional to 1,144.31, 1,716.58 and 311.39

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Solution

The fourth proportional to 1,144.31, 1,716.58 and 311.39 is: 467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.31 : 1,716.58 = 311.39 : x
  2. Step 2: Convert to fraction form
    1,144.31/1,716.58 = 311.39/x
  3. Step 3: Cross multiply
    1,144.31x = 1,716.58 × 311.39
  4. Step 4: Simplify right side
    1,144.31x = 534,515.71
  5. Step 5: Solve for x
    x = 534,515.71/1,144.31
  6. Step 6: Final answer
    x = 467.11

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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.