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Finding the Fourth Proportional to 712.31, 1,067.46 and 538.83

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Solution

The fourth proportional to 712.31, 1,067.46 and 538.83 is: 807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.31 : 1,067.46 = 538.83 : x
  2. Step 2: Convert to fraction form
    712.31/1,067.46 = 538.83/x
  3. Step 3: Cross multiply
    712.31x = 1,067.46 × 538.83
  4. Step 4: Simplify right side
    712.31x = 575,179.47
  5. Step 5: Solve for x
    x = 575,179.47/712.31
  6. Step 6: Final answer
    x = 807.49

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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.