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Finding the Fourth Proportional to 993.44, 1,487.38 and 916.88

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Solution

The fourth proportional to 993.44, 1,487.38 and 916.88 is: 1,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.44 : 1,487.38 = 916.88 : x
  2. Step 2: Convert to fraction form
    993.44/1,487.38 = 916.88/x
  3. Step 3: Cross multiply
    993.44x = 1,487.38 × 916.88
  4. Step 4: Simplify right side
    993.44x = 1,363,748.97
  5. Step 5: Solve for x
    x = 1,363,748.97/993.44
  6. Step 6: Final answer
    x = 1,372.75

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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.