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Finding the Fourth Proportional to 615.34, 849.54 and 382.78

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Solution

The fourth proportional to 615.34, 849.54 and 382.78 is: 528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.34 : 849.54 = 382.78 : x
  2. Step 2: Convert to fraction form
    615.34/849.54 = 382.78/x
  3. Step 3: Cross multiply
    615.34x = 849.54 × 382.78
  4. Step 4: Simplify right side
    615.34x = 325,186.92
  5. Step 5: Solve for x
    x = 325,186.92/615.34
  6. Step 6: Final answer
    x = 528.47

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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.