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Finding the Fourth Proportional to 1,187.56, 1,773.23 and 1,063.36

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Solution

The fourth proportional to 1,187.56, 1,773.23 and 1,063.36 is: 1,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.56 : 1,773.23 = 1,063.36 : x
  2. Step 2: Convert to fraction form
    1,187.56/1,773.23 = 1,063.36/x
  3. Step 3: Cross multiply
    1,187.56x = 1,773.23 × 1,063.36
  4. Step 4: Simplify right side
    1,187.56x = 1,885,581.85
  5. Step 5: Solve for x
    x = 1,885,581.85/1,187.56
  6. Step 6: Final answer
    x = 1,587.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.