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Finding the Fourth Proportional to 1,279.12, 1,764.15 and 859.34

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Solution

The fourth proportional to 1,279.12, 1,764.15 and 859.34 is: 1,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.12 : 1,764.15 = 859.34 : x
  2. Step 2: Convert to fraction form
    1,279.12/1,764.15 = 859.34/x
  3. Step 3: Cross multiply
    1,279.12x = 1,764.15 × 859.34
  4. Step 4: Simplify right side
    1,279.12x = 1,516,004.66
  5. Step 5: Solve for x
    x = 1,516,004.66/1,279.12
  6. Step 6: Final answer
    x = 1,185.19

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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.