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Finding the Fourth Proportional to 987.96, 1,480.86 and 439.98

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Solution

The fourth proportional to 987.96, 1,480.86 and 439.98 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.96 : 1,480.86 = 439.98 : x
  2. Step 2: Convert to fraction form
    987.96/1,480.86 = 439.98/x
  3. Step 3: Cross multiply
    987.96x = 1,480.86 × 439.98
  4. Step 4: Simplify right side
    987.96x = 651,548.78
  5. Step 5: Solve for x
    x = 651,548.78/987.96
  6. Step 6: Final answer
    x = 659.49

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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.