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Finding the Fourth Proportional to 858.13, 1,279.66 and 850.34

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Solution

The fourth proportional to 858.13, 1,279.66 and 850.34 is: 1,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.13 : 1,279.66 = 850.34 : x
  2. Step 2: Convert to fraction form
    858.13/1,279.66 = 850.34/x
  3. Step 3: Cross multiply
    858.13x = 1,279.66 × 850.34
  4. Step 4: Simplify right side
    858.13x = 1,088,139.69
  5. Step 5: Solve for x
    x = 1,088,139.69/858.13
  6. Step 6: Final answer
    x = 1,268.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.