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Finding the Fourth Proportional to 678.43, 1,017.65 and 216.13

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Solution

The fourth proportional to 678.43, 1,017.65 and 216.13 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.43 : 1,017.65 = 216.13 : x
  2. Step 2: Convert to fraction form
    678.43/1,017.65 = 216.13/x
  3. Step 3: Cross multiply
    678.43x = 1,017.65 × 216.13
  4. Step 4: Simplify right side
    678.43x = 219,944.69
  5. Step 5: Solve for x
    x = 219,944.69/678.43
  6. Step 6: Final answer
    x = 324.20

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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.