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Finding the Fourth Proportional to 774.32, 1,067.85 and 525.65

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Solution

The fourth proportional to 774.32, 1,067.85 and 525.65 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.32 : 1,067.85 = 525.65 : x
  2. Step 2: Convert to fraction form
    774.32/1,067.85 = 525.65/x
  3. Step 3: Cross multiply
    774.32x = 1,067.85 × 525.65
  4. Step 4: Simplify right side
    774.32x = 561,310.01
  5. Step 5: Solve for x
    x = 561,310.01/774.32
  6. Step 6: Final answer
    x = 724.91

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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.