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Finding the Fourth Proportional to 987.96, 1,482.12 and 338.88

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Solution

The fourth proportional to 987.96, 1,482.12 and 338.88 is: 508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.96 : 1,482.12 = 338.88 : x
  2. Step 2: Convert to fraction form
    987.96/1,482.12 = 338.88/x
  3. Step 3: Cross multiply
    987.96x = 1,482.12 × 338.88
  4. Step 4: Simplify right side
    987.96x = 502,260.83
  5. Step 5: Solve for x
    x = 502,260.83/987.96
  6. Step 6: Final answer
    x = 508.38

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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.