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Finding the Fourth Proportional to 774.90, 1,067.48 and 538.38

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Solution

The fourth proportional to 774.90, 1,067.48 and 538.38 is: 741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.90 : 1,067.48 = 538.38 : x
  2. Step 2: Convert to fraction form
    774.90/1,067.48 = 538.38/x
  3. Step 3: Cross multiply
    774.90x = 1,067.48 × 538.38
  4. Step 4: Simplify right side
    774.90x = 574,709.21
  5. Step 5: Solve for x
    x = 574,709.21/774.90
  6. Step 6: Final answer
    x = 741.66

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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.