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Finding the Fourth Proportional to 610.43, 837.98 and 561.22

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Solution

The fourth proportional to 610.43, 837.98 and 561.22 is: 770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.43 : 837.98 = 561.22 : x
  2. Step 2: Convert to fraction form
    610.43/837.98 = 561.22/x
  3. Step 3: Cross multiply
    610.43x = 837.98 × 561.22
  4. Step 4: Simplify right side
    610.43x = 470,284.14
  5. Step 5: Solve for x
    x = 470,284.14/610.43
  6. Step 6: Final answer
    x = 770.42

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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.