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Finding the Fourth Proportional to 1,072.54, 1,479.72 and 630.28

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Solution

The fourth proportional to 1,072.54, 1,479.72 and 630.28 is: 869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.54 : 1,479.72 = 630.28 : x
  2. Step 2: Convert to fraction form
    1,072.54/1,479.72 = 630.28/x
  3. Step 3: Cross multiply
    1,072.54x = 1,479.72 × 630.28
  4. Step 4: Simplify right side
    1,072.54x = 932,637.92
  5. Step 5: Solve for x
    x = 932,637.92/1,072.54
  6. Step 6: Final answer
    x = 869.56

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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.