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Finding the Fourth Proportional to 616.26, 919.86 and 544.17

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Solution

The fourth proportional to 616.26, 919.86 and 544.17 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 919.86 = 544.17 : x
  2. Step 2: Convert to fraction form
    616.26/919.86 = 544.17/x
  3. Step 3: Cross multiply
    616.26x = 919.86 × 544.17
  4. Step 4: Simplify right side
    616.26x = 500,560.22
  5. Step 5: Solve for x
    x = 500,560.22/616.26
  6. Step 6: Final answer
    x = 812.25

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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.