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Finding the Fourth Proportional to 616.87, 919.85 and 611.38

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Solution

The fourth proportional to 616.87, 919.85 and 611.38 is: 911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.87 : 919.85 = 611.38 : x
  2. Step 2: Convert to fraction form
    616.87/919.85 = 611.38/x
  3. Step 3: Cross multiply
    616.87x = 919.85 × 611.38
  4. Step 4: Simplify right side
    616.87x = 562,377.89
  5. Step 5: Solve for x
    x = 562,377.89/616.87
  6. Step 6: Final answer
    x = 911.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.