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Finding the Fourth Proportional to 711.68, 1,067.52 and 469.74

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Solution

The fourth proportional to 711.68, 1,067.52 and 469.74 is: 704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 1,067.52 = 469.74 : x
  2. Step 2: Convert to fraction form
    711.68/1,067.52 = 469.74/x
  3. Step 3: Cross multiply
    711.68x = 1,067.52 × 469.74
  4. Step 4: Simplify right side
    711.68x = 501,456.84
  5. Step 5: Solve for x
    x = 501,456.84/711.68
  6. Step 6: Final answer
    x = 704.61

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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.