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Finding the Fourth Proportional to 1,334.70, 1,998.64 and 987.52

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Solution

The fourth proportional to 1,334.70, 1,998.64 and 987.52 is: 1,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.70 : 1,998.64 = 987.52 : x
  2. Step 2: Convert to fraction form
    1,334.70/1,998.64 = 987.52/x
  3. Step 3: Cross multiply
    1,334.70x = 1,998.64 × 987.52
  4. Step 4: Simplify right side
    1,334.70x = 1,973,696.97
  5. Step 5: Solve for x
    x = 1,973,696.97/1,334.70
  6. Step 6: Final answer
    x = 1,478.76

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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.