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Finding the Fourth Proportional to 985.40, 1,478.34 and 498.44

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Solution

The fourth proportional to 985.40, 1,478.34 and 498.44 is: 747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.40 : 1,478.34 = 498.44 : x
  2. Step 2: Convert to fraction form
    985.40/1,478.34 = 498.44/x
  3. Step 3: Cross multiply
    985.40x = 1,478.34 × 498.44
  4. Step 4: Simplify right side
    985.40x = 736,863.79
  5. Step 5: Solve for x
    x = 736,863.79/985.40
  6. Step 6: Final answer
    x = 747.78

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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.