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Finding the Fourth Proportional to 774.28, 1,067.29 and 587.02

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Solution

The fourth proportional to 774.28, 1,067.29 and 587.02 is: 809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.28 : 1,067.29 = 587.02 : x
  2. Step 2: Convert to fraction form
    774.28/1,067.29 = 587.02/x
  3. Step 3: Cross multiply
    774.28x = 1,067.29 × 587.02
  4. Step 4: Simplify right side
    774.28x = 626,512.30
  5. Step 5: Solve for x
    x = 626,512.30/774.28
  6. Step 6: Final answer
    x = 809.16

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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.