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Finding the Fourth Proportional to 986.17, 1,478.49 and 498.55

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Solution

The fourth proportional to 986.17, 1,478.49 and 498.55 is: 747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.17 : 1,478.49 = 498.55 : x
  2. Step 2: Convert to fraction form
    986.17/1,478.49 = 498.55/x
  3. Step 3: Cross multiply
    986.17x = 1,478.49 × 498.55
  4. Step 4: Simplify right side
    986.17x = 737,101.19
  5. Step 5: Solve for x
    x = 737,101.19/986.17
  6. Step 6: Final answer
    x = 747.44

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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.