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Finding the Fourth Proportional to 712.69, 1,067.66 and 506.74

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Solution

The fourth proportional to 712.69, 1,067.66 and 506.74 is: 759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 1,067.66 = 506.74 : x
  2. Step 2: Convert to fraction form
    712.69/1,067.66 = 506.74/x
  3. Step 3: Cross multiply
    712.69x = 1,067.66 × 506.74
  4. Step 4: Simplify right side
    712.69x = 541,026.03
  5. Step 5: Solve for x
    x = 541,026.03/712.69
  6. Step 6: Final answer
    x = 759.13

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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.