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Finding the Fourth Proportional to 854.22, 1,282.55 and 815.07

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Solution

The fourth proportional to 854.22, 1,282.55 and 815.07 is: 1,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,282.55 = 815.07 : x
  2. Step 2: Convert to fraction form
    854.22/1,282.55 = 815.07/x
  3. Step 3: Cross multiply
    854.22x = 1,282.55 × 815.07
  4. Step 4: Simplify right side
    854.22x = 1,045,363.95
  5. Step 5: Solve for x
    x = 1,045,363.95/854.22
  6. Step 6: Final answer
    x = 1,223.76

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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.