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Finding the Fourth Proportional to 678.36, 1,016.13 and 517.02

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Solution

The fourth proportional to 678.36, 1,016.13 and 517.02 is: 774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.36 : 1,016.13 = 517.02 : x
  2. Step 2: Convert to fraction form
    678.36/1,016.13 = 517.02/x
  3. Step 3: Cross multiply
    678.36x = 1,016.13 × 517.02
  4. Step 4: Simplify right side
    678.36x = 525,359.53
  5. Step 5: Solve for x
    x = 525,359.53/678.36
  6. Step 6: Final answer
    x = 774.46

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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.