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Finding the Fourth Proportional to 616.12, 919.61 and 543.22

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Solution

The fourth proportional to 616.12, 919.61 and 543.22 is: 810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.12 : 919.61 = 543.22 : x
  2. Step 2: Convert to fraction form
    616.12/919.61 = 543.22/x
  3. Step 3: Cross multiply
    616.12x = 919.61 × 543.22
  4. Step 4: Simplify right side
    616.12x = 499,550.54
  5. Step 5: Solve for x
    x = 499,550.54/616.12
  6. Step 6: Final answer
    x = 810.80

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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.