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Finding the Fourth Proportional to 1,002.25, 1,383.11 and 609.20

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Solution

The fourth proportional to 1,002.25, 1,383.11 and 609.20 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.25 : 1,383.11 = 609.20 : x
  2. Step 2: Convert to fraction form
    1,002.25/1,383.11 = 609.20/x
  3. Step 3: Cross multiply
    1,002.25x = 1,383.11 × 609.20
  4. Step 4: Simplify right side
    1,002.25x = 842,590.61
  5. Step 5: Solve for x
    x = 842,590.61/1,002.25
  6. Step 6: Final answer
    x = 840.70

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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.