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Finding the Fourth Proportional to 755.78, 1,134.14 and 345.11

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Solution

The fourth proportional to 755.78, 1,134.14 and 345.11 is: 517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.78 : 1,134.14 = 345.11 : x
  2. Step 2: Convert to fraction form
    755.78/1,134.14 = 345.11/x
  3. Step 3: Cross multiply
    755.78x = 1,134.14 × 345.11
  4. Step 4: Simplify right side
    755.78x = 391,395.66
  5. Step 5: Solve for x
    x = 391,395.66/755.78
  6. Step 6: Final answer
    x = 517.87

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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.