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Finding the Fourth Proportional to 1,068, 1,473.84 and 675.24

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Solution

The fourth proportional to 1,068, 1,473.84 and 675.24 is: 931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068 : 1,473.84 = 675.24 : x
  2. Step 2: Convert to fraction form
    1,068/1,473.84 = 675.24/x
  3. Step 3: Cross multiply
    1,068x = 1,473.84 × 675.24
  4. Step 4: Simplify right side
    1,068x = 995,195.72
  5. Step 5: Solve for x
    x = 995,195.72/1,068
  6. Step 6: Final answer
    x = 931.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.