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Finding the Fourth Proportional to 1,091.56, 1,503.07 and 987.37

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Solution

The fourth proportional to 1,091.56, 1,503.07 and 987.37 is: 1,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.56 : 1,503.07 = 987.37 : x
  2. Step 2: Convert to fraction form
    1,091.56/1,503.07 = 987.37/x
  3. Step 3: Cross multiply
    1,091.56x = 1,503.07 × 987.37
  4. Step 4: Simplify right side
    1,091.56x = 1,484,086.23
  5. Step 5: Solve for x
    x = 1,484,086.23/1,091.56
  6. Step 6: Final answer
    x = 1,359.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.