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Finding the Fourth Proportional to 1,187.53, 1,638.43 and 745.42

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Solution

The fourth proportional to 1,187.53, 1,638.43 and 745.42 is: 1,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.53 : 1,638.43 = 745.42 : x
  2. Step 2: Convert to fraction form
    1,187.53/1,638.43 = 745.42/x
  3. Step 3: Cross multiply
    1,187.53x = 1,638.43 × 745.42
  4. Step 4: Simplify right side
    1,187.53x = 1,221,318.49
  5. Step 5: Solve for x
    x = 1,221,318.49/1,187.53
  6. Step 6: Final answer
    x = 1,028.45

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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.