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Finding the Fourth Proportional to 986.69, 1,478.46 and 547.56

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Solution

The fourth proportional to 986.69, 1,478.46 and 547.56 is: 820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.69 : 1,478.46 = 547.56 : x
  2. Step 2: Convert to fraction form
    986.69/1,478.46 = 547.56/x
  3. Step 3: Cross multiply
    986.69x = 1,478.46 × 547.56
  4. Step 4: Simplify right side
    986.69x = 809,545.56
  5. Step 5: Solve for x
    x = 809,545.56/986.69
  6. Step 6: Final answer
    x = 820.47

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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.