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Finding the Fourth Proportional to 774.19, 1,067.66 and 718.30

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Solution

The fourth proportional to 774.19, 1,067.66 and 718.30 is: 990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.19 : 1,067.66 = 718.30 : x
  2. Step 2: Convert to fraction form
    774.19/1,067.66 = 718.30/x
  3. Step 3: Cross multiply
    774.19x = 1,067.66 × 718.30
  4. Step 4: Simplify right side
    774.19x = 766,894.84
  5. Step 5: Solve for x
    x = 766,894.84/774.19
  6. Step 6: Final answer
    x = 990.58

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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.