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Finding the Fourth Proportional to 678.27, 1,016.70 and 245.13

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Solution

The fourth proportional to 678.27, 1,016.70 and 245.13 is: 367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.27 : 1,016.70 = 245.13 : x
  2. Step 2: Convert to fraction form
    678.27/1,016.70 = 245.13/x
  3. Step 3: Cross multiply
    678.27x = 1,016.70 × 245.13
  4. Step 4: Simplify right side
    678.27x = 249,223.67
  5. Step 5: Solve for x
    x = 249,223.67/678.27
  6. Step 6: Final answer
    x = 367.44

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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.