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Finding the Fourth Proportional to 615.06, 849.09 and 428.70

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Solution

The fourth proportional to 615.06, 849.09 and 428.70 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.06 : 849.09 = 428.70 : x
  2. Step 2: Convert to fraction form
    615.06/849.09 = 428.70/x
  3. Step 3: Cross multiply
    615.06x = 849.09 × 428.70
  4. Step 4: Simplify right side
    615.06x = 364,004.88
  5. Step 5: Solve for x
    x = 364,004.88/615.06
  6. Step 6: Final answer
    x = 591.82

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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.