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Finding the Fourth Proportional to 774.24, 1,067.64 and 538.46

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Solution

The fourth proportional to 774.24, 1,067.64 and 538.46 is: 742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.24 : 1,067.64 = 538.46 : x
  2. Step 2: Convert to fraction form
    774.24/1,067.64 = 538.46/x
  3. Step 3: Cross multiply
    774.24x = 1,067.64 × 538.46
  4. Step 4: Simplify right side
    774.24x = 574,876.10
  5. Step 5: Solve for x
    x = 574,876.10/774.24
  6. Step 6: Final answer
    x = 742.50

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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.