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Finding the Fourth Proportional to 615.42, 849.56 and 405.71

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Solution

The fourth proportional to 615.42, 849.56 and 405.71 is: 560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 849.56 = 405.71 : x
  2. Step 2: Convert to fraction form
    615.42/849.56 = 405.71/x
  3. Step 3: Cross multiply
    615.42x = 849.56 × 405.71
  4. Step 4: Simplify right side
    615.42x = 344,674.99
  5. Step 5: Solve for x
    x = 344,674.99/615.42
  6. Step 6: Final answer
    x = 560.06

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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.