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Finding the Fourth Proportional to 1,187.68, 1,639.12 and 745.92

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Solution

The fourth proportional to 1,187.68, 1,639.12 and 745.92 is: 1,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.68 : 1,639.12 = 745.92 : x
  2. Step 2: Convert to fraction form
    1,187.68/1,639.12 = 745.92/x
  3. Step 3: Cross multiply
    1,187.68x = 1,639.12 × 745.92
  4. Step 4: Simplify right side
    1,187.68x = 1,222,652.39
  5. Step 5: Solve for x
    x = 1,222,652.39/1,187.68
  6. Step 6: Final answer
    x = 1,029.45

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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.