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Finding the Fourth Proportional to 854.80, 1,279.14 and 670.93

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Solution

The fourth proportional to 854.80, 1,279.14 and 670.93 is: 1,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.80 : 1,279.14 = 670.93 : x
  2. Step 2: Convert to fraction form
    854.80/1,279.14 = 670.93/x
  3. Step 3: Cross multiply
    854.80x = 1,279.14 × 670.93
  4. Step 4: Simplify right side
    854.80x = 858,213.40
  5. Step 5: Solve for x
    x = 858,213.40/854.80
  6. Step 6: Final answer
    x = 1,003.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.