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Finding the Fourth Proportional to 754.78, 1,129.80 and 519.14

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Solution

The fourth proportional to 754.78, 1,129.80 and 519.14 is: 777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.78 : 1,129.80 = 519.14 : x
  2. Step 2: Convert to fraction form
    754.78/1,129.80 = 519.14/x
  3. Step 3: Cross multiply
    754.78x = 1,129.80 × 519.14
  4. Step 4: Simplify right side
    754.78x = 586,529.51
  5. Step 5: Solve for x
    x = 586,529.51/754.78
  6. Step 6: Final answer
    x = 777.09

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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.