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Finding the Fourth Proportional to 1,072.12, 1,479.41 and 630.03

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Solution

The fourth proportional to 1,072.12, 1,479.41 and 630.03 is: 869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.12 : 1,479.41 = 630.03 : x
  2. Step 2: Convert to fraction form
    1,072.12/1,479.41 = 630.03/x
  3. Step 3: Cross multiply
    1,072.12x = 1,479.41 × 630.03
  4. Step 4: Simplify right side
    1,072.12x = 932,062.14
  5. Step 5: Solve for x
    x = 932,062.14/1,072.12
  6. Step 6: Final answer
    x = 869.37

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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.