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Finding the Fourth Proportional to 774.15, 1,067.75 and 538.10

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Solution

The fourth proportional to 774.15, 1,067.75 and 538.10 is: 742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.15 : 1,067.75 = 538.10 : x
  2. Step 2: Convert to fraction form
    774.15/1,067.75 = 538.10/x
  3. Step 3: Cross multiply
    774.15x = 1,067.75 × 538.10
  4. Step 4: Simplify right side
    774.15x = 574,548.25
  5. Step 5: Solve for x
    x = 574,548.25/774.15
  6. Step 6: Final answer
    x = 742.17

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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.