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Finding the Fourth Proportional to 1,187.25, 1,774.11 and 888.83

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Solution

The fourth proportional to 1,187.25, 1,774.11 and 888.83 is: 1,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.25 : 1,774.11 = 888.83 : x
  2. Step 2: Convert to fraction form
    1,187.25/1,774.11 = 888.83/x
  3. Step 3: Cross multiply
    1,187.25x = 1,774.11 × 888.83
  4. Step 4: Simplify right side
    1,187.25x = 1,576,878.31
  5. Step 5: Solve for x
    x = 1,576,878.31/1,187.25
  6. Step 6: Final answer
    x = 1,328.18

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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.