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Finding the Fourth Proportional to 616.28, 849.56 and 505.58

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Solution

The fourth proportional to 616.28, 849.56 and 505.58 is: 696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.28 : 849.56 = 505.58 : x
  2. Step 2: Convert to fraction form
    616.28/849.56 = 505.58/x
  3. Step 3: Cross multiply
    616.28x = 849.56 × 505.58
  4. Step 4: Simplify right side
    616.28x = 429,520.54
  5. Step 5: Solve for x
    x = 429,520.54/616.28
  6. Step 6: Final answer
    x = 696.96

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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.