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Finding the Fourth Proportional to 1,138.74, 1,570.34 and 843.50

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Solution

The fourth proportional to 1,138.74, 1,570.34 and 843.50 is: 1,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.74 : 1,570.34 = 843.50 : x
  2. Step 2: Convert to fraction form
    1,138.74/1,570.34 = 843.50/x
  3. Step 3: Cross multiply
    1,138.74x = 1,570.34 × 843.50
  4. Step 4: Simplify right side
    1,138.74x = 1,324,569.72
  5. Step 5: Solve for x
    x = 1,324,569.72/1,138.74
  6. Step 6: Final answer
    x = 1,163.19

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1.5x scale

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.