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Finding the Fourth Proportional to 854.64, 1,279.72 and 709.92

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Solution

The fourth proportional to 854.64, 1,279.72 and 709.92 is: 1,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.64 : 1,279.72 = 709.92 : x
  2. Step 2: Convert to fraction form
    854.64/1,279.72 = 709.92/x
  3. Step 3: Cross multiply
    854.64x = 1,279.72 × 709.92
  4. Step 4: Simplify right side
    854.64x = 908,498.82
  5. Step 5: Solve for x
    x = 908,498.82/854.64
  6. Step 6: Final answer
    x = 1,063.02

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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.