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Finding the Fourth Proportional to 990.31, 1,365.82 and 616.57

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Solution

The fourth proportional to 990.31, 1,365.82 and 616.57 is: 850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.31 : 1,365.82 = 616.57 : x
  2. Step 2: Convert to fraction form
    990.31/1,365.82 = 616.57/x
  3. Step 3: Cross multiply
    990.31x = 1,365.82 × 616.57
  4. Step 4: Simplify right side
    990.31x = 842,123.64
  5. Step 5: Solve for x
    x = 842,123.64/990.31
  6. Step 6: Final answer
    x = 850.36

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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.