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Finding the Fourth Proportional to 1,383.98, 2,076.35 and 604.15

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Solution

The fourth proportional to 1,383.98, 2,076.35 and 604.15 is: 906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.98 : 2,076.35 = 604.15 : x
  2. Step 2: Convert to fraction form
    1,383.98/2,076.35 = 604.15/x
  3. Step 3: Cross multiply
    1,383.98x = 2,076.35 × 604.15
  4. Step 4: Simplify right side
    1,383.98x = 1,254,418.64
  5. Step 5: Solve for x
    x = 1,254,418.64/1,383.98
  6. Step 6: Final answer
    x = 906.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.