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Finding the Fourth Proportional to 678.87, 1,017.96 and 447.90

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Solution

The fourth proportional to 678.87, 1,017.96 and 447.90 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.87 : 1,017.96 = 447.90 : x
  2. Step 2: Convert to fraction form
    678.87/1,017.96 = 447.90/x
  3. Step 3: Cross multiply
    678.87x = 1,017.96 × 447.90
  4. Step 4: Simplify right side
    678.87x = 455,944.28
  5. Step 5: Solve for x
    x = 455,944.28/678.87
  6. Step 6: Final answer
    x = 671.62

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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.