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Finding the Fourth Proportional to 988.02, 1,481.61 and 439.98

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Solution

The fourth proportional to 988.02, 1,481.61 and 439.98 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.02 : 1,481.61 = 439.98 : x
  2. Step 2: Convert to fraction form
    988.02/1,481.61 = 439.98/x
  3. Step 3: Cross multiply
    988.02x = 1,481.61 × 439.98
  4. Step 4: Simplify right side
    988.02x = 651,878.77
  5. Step 5: Solve for x
    x = 651,878.77/988.02
  6. Step 6: Final answer
    x = 659.78

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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.