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Finding the Fourth Proportional to 987.90, 1,482.10 and 294.54

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Solution

The fourth proportional to 987.90, 1,482.10 and 294.54 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.90 : 1,482.10 = 294.54 : x
  2. Step 2: Convert to fraction form
    987.90/1,482.10 = 294.54/x
  3. Step 3: Cross multiply
    987.90x = 1,482.10 × 294.54
  4. Step 4: Simplify right side
    987.90x = 436,531.44
  5. Step 5: Solve for x
    x = 436,531.44/987.90
  6. Step 6: Final answer
    x = 441.88

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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.