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Finding the Fourth Proportional to 678.14, 1,017.05 and 191.18

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Solution

The fourth proportional to 678.14, 1,017.05 and 191.18 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 1,017.05 = 191.18 : x
  2. Step 2: Convert to fraction form
    678.14/1,017.05 = 191.18/x
  3. Step 3: Cross multiply
    678.14x = 1,017.05 × 191.18
  4. Step 4: Simplify right side
    678.14x = 194,433.58
  5. Step 5: Solve for x
    x = 194,433.58/678.14
  6. Step 6: Final answer
    x = 286.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.