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Finding the Fourth Proportional to 677.47, 1,016.33 and 244.57

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Solution

The fourth proportional to 677.47, 1,016.33 and 244.57 is: 366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 1,016.33 = 244.57 : x
  2. Step 2: Convert to fraction form
    677.47/1,016.33 = 244.57/x
  3. Step 3: Cross multiply
    677.47x = 1,016.33 × 244.57
  4. Step 4: Simplify right side
    677.47x = 248,563.83
  5. Step 5: Solve for x
    x = 248,563.83/677.47
  6. Step 6: Final answer
    x = 366.90

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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.