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Finding the Fourth Proportional to 611.88, 917.28 and 563.28

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Solution

The fourth proportional to 611.88, 917.28 and 563.28 is: 844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.88 : 917.28 = 563.28 : x
  2. Step 2: Convert to fraction form
    611.88/917.28 = 563.28/x
  3. Step 3: Cross multiply
    611.88x = 917.28 × 563.28
  4. Step 4: Simplify right side
    611.88x = 516,685.48
  5. Step 5: Solve for x
    x = 516,685.48/611.88
  6. Step 6: Final answer
    x = 844.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.