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Finding the Fourth Proportional to 615.68, 849.44 and 405.92

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Solution

The fourth proportional to 615.68, 849.44 and 405.92 is: 560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 849.44 = 405.92 : x
  2. Step 2: Convert to fraction form
    615.68/849.44 = 405.92/x
  3. Step 3: Cross multiply
    615.68x = 849.44 × 405.92
  4. Step 4: Simplify right side
    615.68x = 344,804.68
  5. Step 5: Solve for x
    x = 344,804.68/615.68
  6. Step 6: Final answer
    x = 560.04

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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.