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Finding the Fourth Proportional to 1,188.41, 1,638.75 and 815.94

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Solution

The fourth proportional to 1,188.41, 1,638.75 and 815.94 is: 1,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.41 : 1,638.75 = 815.94 : x
  2. Step 2: Convert to fraction form
    1,188.41/1,638.75 = 815.94/x
  3. Step 3: Cross multiply
    1,188.41x = 1,638.75 × 815.94
  4. Step 4: Simplify right side
    1,188.41x = 1,337,121.68
  5. Step 5: Solve for x
    x = 1,337,121.68/1,188.41
  6. Step 6: Final answer
    x = 1,125.13

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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.