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Finding the Fourth Proportional to 611.43, 839.35 and 562.22

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Solution

The fourth proportional to 611.43, 839.35 and 562.22 is: 771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.43 : 839.35 = 562.22 : x
  2. Step 2: Convert to fraction form
    611.43/839.35 = 562.22/x
  3. Step 3: Cross multiply
    611.43x = 839.35 × 562.22
  4. Step 4: Simplify right side
    611.43x = 471,899.36
  5. Step 5: Solve for x
    x = 471,899.36/611.43
  6. Step 6: Final answer
    x = 771.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.