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Finding the Fourth Proportional to 615.31, 849.32 and 405.66

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Solution

The fourth proportional to 615.31, 849.32 and 405.66 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.31 : 849.32 = 405.66 : x
  2. Step 2: Convert to fraction form
    615.31/849.32 = 405.66/x
  3. Step 3: Cross multiply
    615.31x = 849.32 × 405.66
  4. Step 4: Simplify right side
    615.31x = 344,535.15
  5. Step 5: Solve for x
    x = 344,535.15/615.31
  6. Step 6: Final answer
    x = 559.94

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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.