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Finding the Fourth Proportional to 986.82, 1,478.40 and 498.70

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Solution

The fourth proportional to 986.82, 1,478.40 and 498.70 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.82 : 1,478.40 = 498.70 : x
  2. Step 2: Convert to fraction form
    986.82/1,478.40 = 498.70/x
  3. Step 3: Cross multiply
    986.82x = 1,478.40 × 498.70
  4. Step 4: Simplify right side
    986.82x = 737,278.08
  5. Step 5: Solve for x
    x = 737,278.08/986.82
  6. Step 6: Final answer
    x = 747.13

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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.