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Finding the Fourth Proportional to 754.94, 1,138.15 and 708.02

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Solution

The fourth proportional to 754.94, 1,138.15 and 708.02 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,138.15 = 708.02 : x
  2. Step 2: Convert to fraction form
    754.94/1,138.15 = 708.02/x
  3. Step 3: Cross multiply
    754.94x = 1,138.15 × 708.02
  4. Step 4: Simplify right side
    754.94x = 805,829.42
  5. Step 5: Solve for x
    x = 805,829.42/754.94
  6. Step 6: Final answer
    x = 1,067.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.