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Finding the Fourth Proportional to 813.41, 1,222.82 and 630.89

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Solution

The fourth proportional to 813.41, 1,222.82 and 630.89 is: 948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.41 : 1,222.82 = 630.89 : x
  2. Step 2: Convert to fraction form
    813.41/1,222.82 = 630.89/x
  3. Step 3: Cross multiply
    813.41x = 1,222.82 × 630.89
  4. Step 4: Simplify right side
    813.41x = 771,464.91
  5. Step 5: Solve for x
    x = 771,464.91/813.41
  6. Step 6: Final answer
    x = 948.43

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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.