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Finding the Fourth Proportional to 616.73, 919.91 and 561.36

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Solution

The fourth proportional to 616.73, 919.91 and 561.36 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.73 : 919.91 = 561.36 : x
  2. Step 2: Convert to fraction form
    616.73/919.91 = 561.36/x
  3. Step 3: Cross multiply
    616.73x = 919.91 × 561.36
  4. Step 4: Simplify right side
    616.73x = 516,397.87
  5. Step 5: Solve for x
    x = 516,397.87/616.73
  6. Step 6: Final answer
    x = 837.32

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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.