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Finding the Fourth Proportional to 1,138.02, 1,570.38 and 696.12

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Solution

The fourth proportional to 1,138.02, 1,570.38 and 696.12 is: 960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.02 : 1,570.38 = 696.12 : x
  2. Step 2: Convert to fraction form
    1,138.02/1,570.38 = 696.12/x
  3. Step 3: Cross multiply
    1,138.02x = 1,570.38 × 696.12
  4. Step 4: Simplify right side
    1,138.02x = 1,093,172.93
  5. Step 5: Solve for x
    x = 1,093,172.93/1,138.02
  6. Step 6: Final answer
    x = 960.59

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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.