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Finding the Fourth Proportional to 657.84, 987 and 273.12

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Solution

The fourth proportional to 657.84, 987 and 273.12 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 987 = 273.12 : x
  2. Step 2: Convert to fraction form
    657.84/987 = 273.12/x
  3. Step 3: Cross multiply
    657.84x = 987 × 273.12
  4. Step 4: Simplify right side
    657.84x = 269,569.44
  5. Step 5: Solve for x
    x = 269,569.44/657.84
  6. Step 6: Final answer
    x = 409.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.