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Finding the Fourth Proportional to 774.15, 1,067.65 and 549.65

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Solution

The fourth proportional to 774.15, 1,067.65 and 549.65 is: 758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.15 : 1,067.65 = 549.65 : x
  2. Step 2: Convert to fraction form
    774.15/1,067.65 = 549.65/x
  3. Step 3: Cross multiply
    774.15x = 1,067.65 × 549.65
  4. Step 4: Simplify right side
    774.15x = 586,833.82
  5. Step 5: Solve for x
    x = 586,833.82/774.15
  6. Step 6: Final answer
    x = 758.04

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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.