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Finding the Fourth Proportional to 616.16, 919.96 and 610

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Solution

The fourth proportional to 616.16, 919.96 and 610 is: 910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 919.96 = 610 : x
  2. Step 2: Convert to fraction form
    616.16/919.96 = 610/x
  3. Step 3: Cross multiply
    616.16x = 919.96 × 610
  4. Step 4: Simplify right side
    616.16x = 561,175.60
  5. Step 5: Solve for x
    x = 561,175.60/616.16
  6. Step 6: Final answer
    x = 910.76

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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.