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Finding the Fourth Proportional to 1,138.15, 1,704.84 and 552.31

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Solution

The fourth proportional to 1,138.15, 1,704.84 and 552.31 is: 827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.15 : 1,704.84 = 552.31 : x
  2. Step 2: Convert to fraction form
    1,138.15/1,704.84 = 552.31/x
  3. Step 3: Cross multiply
    1,138.15x = 1,704.84 × 552.31
  4. Step 4: Simplify right side
    1,138.15x = 941,600.18
  5. Step 5: Solve for x
    x = 941,600.18/1,138.15
  6. Step 6: Final answer
    x = 827.31

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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.