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Finding the Fourth Proportional to 987.98, 1,482.08 and 338.57

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Solution

The fourth proportional to 987.98, 1,482.08 and 338.57 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.98 : 1,482.08 = 338.57 : x
  2. Step 2: Convert to fraction form
    987.98/1,482.08 = 338.57/x
  3. Step 3: Cross multiply
    987.98x = 1,482.08 × 338.57
  4. Step 4: Simplify right side
    987.98x = 501,778.72
  5. Step 5: Solve for x
    x = 501,778.72/987.98
  6. Step 6: Final answer
    x = 507.88

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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.