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Finding the Fourth Proportional to 712.86, 1,067.12 and 468.78

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Solution

The fourth proportional to 712.86, 1,067.12 and 468.78 is: 701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 1,067.12 = 468.78 : x
  2. Step 2: Convert to fraction form
    712.86/1,067.12 = 468.78/x
  3. Step 3: Cross multiply
    712.86x = 1,067.12 × 468.78
  4. Step 4: Simplify right side
    712.86x = 500,244.51
  5. Step 5: Solve for x
    x = 500,244.51/712.86
  6. Step 6: Final answer
    x = 701.74

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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.