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Finding the Fourth Proportional to 1,109.64, 1,662.50 and 988.98

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Solution

The fourth proportional to 1,109.64, 1,662.50 and 988.98 is: 1,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.64 : 1,662.50 = 988.98 : x
  2. Step 2: Convert to fraction form
    1,109.64/1,662.50 = 988.98/x
  3. Step 3: Cross multiply
    1,109.64x = 1,662.50 × 988.98
  4. Step 4: Simplify right side
    1,109.64x = 1,644,179.25
  5. Step 5: Solve for x
    x = 1,644,179.25/1,109.64
  6. Step 6: Final answer
    x = 1,481.72

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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.