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Finding the Fourth Proportional to 1,072.78, 1,479.94 and 630.38

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Solution

The fourth proportional to 1,072.78, 1,479.94 and 630.38 is: 869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.78 : 1,479.94 = 630.38 : x
  2. Step 2: Convert to fraction form
    1,072.78/1,479.94 = 630.38/x
  3. Step 3: Cross multiply
    1,072.78x = 1,479.94 × 630.38
  4. Step 4: Simplify right side
    1,072.78x = 932,926.70
  5. Step 5: Solve for x
    x = 932,926.70/1,072.78
  6. Step 6: Final answer
    x = 869.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.