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Finding the Fourth Proportional to 678.75, 1,016.14 and 613.90

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Solution

The fourth proportional to 678.75, 1,016.14 and 613.90 is: 919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 1,016.14 = 613.90 : x
  2. Step 2: Convert to fraction form
    678.75/1,016.14 = 613.90/x
  3. Step 3: Cross multiply
    678.75x = 1,016.14 × 613.90
  4. Step 4: Simplify right side
    678.75x = 623,800.20
  5. Step 5: Solve for x
    x = 623,800.20/678.75
  6. Step 6: Final answer
    x = 919.05

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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.