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Finding the Fourth Proportional to 1,138.19, 1,570.41 and 696.08

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Solution

The fourth proportional to 1,138.19, 1,570.41 and 696.08 is: 960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.19 : 1,570.41 = 696.08 : x
  2. Step 2: Convert to fraction form
    1,138.19/1,570.41 = 696.08/x
  3. Step 3: Cross multiply
    1,138.19x = 1,570.41 × 696.08
  4. Step 4: Simplify right side
    1,138.19x = 1,093,130.99
  5. Step 5: Solve for x
    x = 1,093,130.99/1,138.19
  6. Step 6: Final answer
    x = 960.41

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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.