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Finding the Fourth Proportional to 774.14, 1,067.69 and 525.15

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Solution

The fourth proportional to 774.14, 1,067.69 and 525.15 is: 724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,067.69 = 525.15 : x
  2. Step 2: Convert to fraction form
    774.14/1,067.69 = 525.15/x
  3. Step 3: Cross multiply
    774.14x = 1,067.69 × 525.15
  4. Step 4: Simplify right side
    774.14x = 560,694.78
  5. Step 5: Solve for x
    x = 560,694.78/774.14
  6. Step 6: Final answer
    x = 724.29

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1.5x scale

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.