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Finding the Fourth Proportional to 616.68, 919.59 and 611.13

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Solution

The fourth proportional to 616.68, 919.59 and 611.13 is: 911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.68 : 919.59 = 611.13 : x
  2. Step 2: Convert to fraction form
    616.68/919.59 = 611.13/x
  3. Step 3: Cross multiply
    616.68x = 919.59 × 611.13
  4. Step 4: Simplify right side
    616.68x = 561,989.04
  5. Step 5: Solve for x
    x = 561,989.04/616.68
  6. Step 6: Final answer
    x = 911.31

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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.