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Finding the Fourth Proportional to 984.31, 1,357.74 and 774.15

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Solution

The fourth proportional to 984.31, 1,357.74 and 774.15 is: 1,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.31 : 1,357.74 = 774.15 : x
  2. Step 2: Convert to fraction form
    984.31/1,357.74 = 774.15/x
  3. Step 3: Cross multiply
    984.31x = 1,357.74 × 774.15
  4. Step 4: Simplify right side
    984.31x = 1,051,094.42
  5. Step 5: Solve for x
    x = 1,051,094.42/984.31
  6. Step 6: Final answer
    x = 1,067.85

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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.