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Finding the Fourth Proportional to 704.38, 1,055.85 and 271.84

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Solution

The fourth proportional to 704.38, 1,055.85 and 271.84 is: 407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.38 : 1,055.85 = 271.84 : x
  2. Step 2: Convert to fraction form
    704.38/1,055.85 = 271.84/x
  3. Step 3: Cross multiply
    704.38x = 1,055.85 × 271.84
  4. Step 4: Simplify right side
    704.38x = 287,022.26
  5. Step 5: Solve for x
    x = 287,022.26/704.38
  6. Step 6: Final answer
    x = 407.48

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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.