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Finding the Fourth Proportional to 1,002.83, 1,383.90 and 583.27

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Solution

The fourth proportional to 1,002.83, 1,383.90 and 583.27 is: 804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.83 : 1,383.90 = 583.27 : x
  2. Step 2: Convert to fraction form
    1,002.83/1,383.90 = 583.27/x
  3. Step 3: Cross multiply
    1,002.83x = 1,383.90 × 583.27
  4. Step 4: Simplify right side
    1,002.83x = 807,187.35
  5. Step 5: Solve for x
    x = 807,187.35/1,002.83
  6. Step 6: Final answer
    x = 804.91

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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.