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Finding the Fourth Proportional to 615.75, 849.07 and 557.43

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Solution

The fourth proportional to 615.75, 849.07 and 557.43 is: 768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.75 : 849.07 = 557.43 : x
  2. Step 2: Convert to fraction form
    615.75/849.07 = 557.43/x
  3. Step 3: Cross multiply
    615.75x = 849.07 × 557.43
  4. Step 4: Simplify right side
    615.75x = 473,294.30
  5. Step 5: Solve for x
    x = 473,294.30/615.75
  6. Step 6: Final answer
    x = 768.65

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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.