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Finding the Fourth Proportional to 1,044.41, 1,440.96 and 630.41

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Solution

The fourth proportional to 1,044.41, 1,440.96 and 630.41 is: 869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.41 : 1,440.96 = 630.41 : x
  2. Step 2: Convert to fraction form
    1,044.41/1,440.96 = 630.41/x
  3. Step 3: Cross multiply
    1,044.41x = 1,440.96 × 630.41
  4. Step 4: Simplify right side
    1,044.41x = 908,395.59
  5. Step 5: Solve for x
    x = 908,395.59/1,044.41
  6. Step 6: Final answer
    x = 869.77

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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.