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Finding the Fourth Proportional to 755.76, 1,134.41 and 345.19

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Solution

The fourth proportional to 755.76, 1,134.41 and 345.19 is: 518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,134.41 = 345.19 : x
  2. Step 2: Convert to fraction form
    755.76/1,134.41 = 345.19/x
  3. Step 3: Cross multiply
    755.76x = 1,134.41 × 345.19
  4. Step 4: Simplify right side
    755.76x = 391,586.99
  5. Step 5: Solve for x
    x = 391,586.99/755.76
  6. Step 6: Final answer
    x = 518.14

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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.