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Finding the Fourth Proportional to 715.60, 1,067.70 and 611.74

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Solution

The fourth proportional to 715.60, 1,067.70 and 611.74 is: 912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.60 : 1,067.70 = 611.74 : x
  2. Step 2: Convert to fraction form
    715.60/1,067.70 = 611.74/x
  3. Step 3: Cross multiply
    715.60x = 1,067.70 × 611.74
  4. Step 4: Simplify right side
    715.60x = 653,154.80
  5. Step 5: Solve for x
    x = 653,154.80/715.60
  6. Step 6: Final answer
    x = 912.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.