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Finding the Fourth Proportional to 678.01, 1,017.01 and 191.06

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Solution

The fourth proportional to 678.01, 1,017.01 and 191.06 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.01 : 1,017.01 = 191.06 : x
  2. Step 2: Convert to fraction form
    678.01/1,017.01 = 191.06/x
  3. Step 3: Cross multiply
    678.01x = 1,017.01 × 191.06
  4. Step 4: Simplify right side
    678.01x = 194,309.93
  5. Step 5: Solve for x
    x = 194,309.93/678.01
  6. Step 6: Final answer
    x = 286.59

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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.