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Finding the Fourth Proportional to 857.68, 1,284.84 and 641.44

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Solution

The fourth proportional to 857.68, 1,284.84 and 641.44 is: 960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.68 : 1,284.84 = 641.44 : x
  2. Step 2: Convert to fraction form
    857.68/1,284.84 = 641.44/x
  3. Step 3: Cross multiply
    857.68x = 1,284.84 × 641.44
  4. Step 4: Simplify right side
    857.68x = 824,147.77
  5. Step 5: Solve for x
    x = 824,147.77/857.68
  6. Step 6: Final answer
    x = 960.90

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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.