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Finding the Fourth Proportional to 1,109.44, 1,660.51 and 987.94

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Solution

The fourth proportional to 1,109.44, 1,660.51 and 987.94 is: 1,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.44 : 1,660.51 = 987.94 : x
  2. Step 2: Convert to fraction form
    1,109.44/1,660.51 = 987.94/x
  3. Step 3: Cross multiply
    1,109.44x = 1,660.51 × 987.94
  4. Step 4: Simplify right side
    1,109.44x = 1,640,471.01
  5. Step 5: Solve for x
    x = 1,640,471.01/1,109.44
  6. Step 6: Final answer
    x = 1,478.65

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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.