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Finding the Fourth Proportional to 1,138.11, 1,570.70 and 696.30

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Solution

The fourth proportional to 1,138.11, 1,570.70 and 696.30 is: 960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.11 : 1,570.70 = 696.30 : x
  2. Step 2: Convert to fraction form
    1,138.11/1,570.70 = 696.30/x
  3. Step 3: Cross multiply
    1,138.11x = 1,570.70 × 696.30
  4. Step 4: Simplify right side
    1,138.11x = 1,093,680.15
  5. Step 5: Solve for x
    x = 1,093,680.15/1,138.11
  6. Step 6: Final answer
    x = 960.96

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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.