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Finding the Fourth Proportional to 678.47, 1,016.87 and 245.39

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Solution

The fourth proportional to 678.47, 1,016.87 and 245.39 is: 367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.47 : 1,016.87 = 245.39 : x
  2. Step 2: Convert to fraction form
    678.47/1,016.87 = 245.39/x
  3. Step 3: Cross multiply
    678.47x = 1,016.87 × 245.39
  4. Step 4: Simplify right side
    678.47x = 249,523.42
  5. Step 5: Solve for x
    x = 249,523.42/678.47
  6. Step 6: Final answer
    x = 367.78

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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.