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Finding the Fourth Proportional to 855.05, 1,282.59 and 422.10

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Solution

The fourth proportional to 855.05, 1,282.59 and 422.10 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.05 : 1,282.59 = 422.10 : x
  2. Step 2: Convert to fraction form
    855.05/1,282.59 = 422.10/x
  3. Step 3: Cross multiply
    855.05x = 1,282.59 × 422.10
  4. Step 4: Simplify right side
    855.05x = 541,381.24
  5. Step 5: Solve for x
    x = 541,381.24/855.05
  6. Step 6: Final answer
    x = 633.16

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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.