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Finding the Fourth Proportional to 857.03, 1,284.77 and 308.83

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Solution

The fourth proportional to 857.03, 1,284.77 and 308.83 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.03 : 1,284.77 = 308.83 : x
  2. Step 2: Convert to fraction form
    857.03/1,284.77 = 308.83/x
  3. Step 3: Cross multiply
    857.03x = 1,284.77 × 308.83
  4. Step 4: Simplify right side
    857.03x = 396,775.52
  5. Step 5: Solve for x
    x = 396,775.52/857.03
  6. Step 6: Final answer
    x = 462.97

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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.