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Finding the Fourth Proportional to 1,190.26, 1,640.34 and 858.10

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Solution

The fourth proportional to 1,190.26, 1,640.34 and 858.10 is: 1,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.26 : 1,640.34 = 858.10 : x
  2. Step 2: Convert to fraction form
    1,190.26/1,640.34 = 858.10/x
  3. Step 3: Cross multiply
    1,190.26x = 1,640.34 × 858.10
  4. Step 4: Simplify right side
    1,190.26x = 1,407,575.75
  5. Step 5: Solve for x
    x = 1,407,575.75/1,190.26
  6. Step 6: Final answer
    x = 1,182.58

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Double scale
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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.