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Finding the Fourth Proportional to 754.14, 1,131.75 and 465.78

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Solution

The fourth proportional to 754.14, 1,131.75 and 465.78 is: 699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.14 : 1,131.75 = 465.78 : x
  2. Step 2: Convert to fraction form
    754.14/1,131.75 = 465.78/x
  3. Step 3: Cross multiply
    754.14x = 1,131.75 × 465.78
  4. Step 4: Simplify right side
    754.14x = 527,146.52
  5. Step 5: Solve for x
    x = 527,146.52/754.14
  6. Step 6: Final answer
    x = 699.00

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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.