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Finding the Fourth Proportional to 1,195.84, 1,648.78 and 864.14

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Solution

The fourth proportional to 1,195.84, 1,648.78 and 864.14 is: 1,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.84 : 1,648.78 = 864.14 : x
  2. Step 2: Convert to fraction form
    1,195.84/1,648.78 = 864.14/x
  3. Step 3: Cross multiply
    1,195.84x = 1,648.78 × 864.14
  4. Step 4: Simplify right side
    1,195.84x = 1,424,776.75
  5. Step 5: Solve for x
    x = 1,424,776.75/1,195.84
  6. Step 6: Final answer
    x = 1,191.44

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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.