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Finding the Fourth Proportional to 833.55, 1,251.10 and 422.98

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Solution

The fourth proportional to 833.55, 1,251.10 and 422.98 is: 634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.55 : 1,251.10 = 422.98 : x
  2. Step 2: Convert to fraction form
    833.55/1,251.10 = 422.98/x
  3. Step 3: Cross multiply
    833.55x = 1,251.10 × 422.98
  4. Step 4: Simplify right side
    833.55x = 529,186.09
  5. Step 5: Solve for x
    x = 529,186.09/833.55
  6. Step 6: Final answer
    x = 634.86

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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.