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Finding the Fourth Proportional to 1,138.08, 1,706.87 and 552.83

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Solution

The fourth proportional to 1,138.08, 1,706.87 and 552.83 is: 829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.08 : 1,706.87 = 552.83 : x
  2. Step 2: Convert to fraction form
    1,138.08/1,706.87 = 552.83/x
  3. Step 3: Cross multiply
    1,138.08x = 1,706.87 × 552.83
  4. Step 4: Simplify right side
    1,138.08x = 943,601.79
  5. Step 5: Solve for x
    x = 943,601.79/1,138.08
  6. Step 6: Final answer
    x = 829.12

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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.