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Finding the Fourth Proportional to 855.20, 1,282.94 and 335.45

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Solution

The fourth proportional to 855.20, 1,282.94 and 335.45 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.20 : 1,282.94 = 335.45 : x
  2. Step 2: Convert to fraction form
    855.20/1,282.94 = 335.45/x
  3. Step 3: Cross multiply
    855.20x = 1,282.94 × 335.45
  4. Step 4: Simplify right side
    855.20x = 430,354.13
  5. Step 5: Solve for x
    x = 430,354.13/855.20
  6. Step 6: Final answer
    x = 503.22

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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.