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Finding the Fourth Proportional to 1,002.90, 1,382.73 and 648.21

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Solution

The fourth proportional to 1,002.90, 1,382.73 and 648.21 is: 893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.90 : 1,382.73 = 648.21 : x
  2. Step 2: Convert to fraction form
    1,002.90/1,382.73 = 648.21/x
  3. Step 3: Cross multiply
    1,002.90x = 1,382.73 × 648.21
  4. Step 4: Simplify right side
    1,002.90x = 896,299.41
  5. Step 5: Solve for x
    x = 896,299.41/1,002.90
  6. Step 6: Final answer
    x = 893.71

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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.