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Finding the Fourth Proportional to 1,002.43, 1,383.51 and 582.78

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Solution

The fourth proportional to 1,002.43, 1,383.51 and 582.78 is: 804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.43 : 1,383.51 = 582.78 : x
  2. Step 2: Convert to fraction form
    1,002.43/1,383.51 = 582.78/x
  3. Step 3: Cross multiply
    1,002.43x = 1,383.51 × 582.78
  4. Step 4: Simplify right side
    1,002.43x = 806,281.96
  5. Step 5: Solve for x
    x = 806,281.96/1,002.43
  6. Step 6: Final answer
    x = 804.33

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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.