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Finding the Fourth Proportional to 986.47, 1,478.72 and 547.92

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Solution

The fourth proportional to 986.47, 1,478.72 and 547.92 is: 821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.47 : 1,478.72 = 547.92 : x
  2. Step 2: Convert to fraction form
    986.47/1,478.72 = 547.92/x
  3. Step 3: Cross multiply
    986.47x = 1,478.72 × 547.92
  4. Step 4: Simplify right side
    986.47x = 810,218.72
  5. Step 5: Solve for x
    x = 810,218.72/986.47
  6. Step 6: Final answer
    x = 821.33

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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.