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Finding the Fourth Proportional to 678.12, 1,016.13 and 369.66

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Solution

The fourth proportional to 678.12, 1,016.13 and 369.66 is: 553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 1,016.13 = 369.66 : x
  2. Step 2: Convert to fraction form
    678.12/1,016.13 = 369.66/x
  3. Step 3: Cross multiply
    678.12x = 1,016.13 × 369.66
  4. Step 4: Simplify right side
    678.12x = 375,622.62
  5. Step 5: Solve for x
    x = 375,622.62/678.12
  6. Step 6: Final answer
    x = 553.92

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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.