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Finding the Fourth Proportional to 610.25, 920.17 and 559.22

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Solution

The fourth proportional to 610.25, 920.17 and 559.22 is: 843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.25 : 920.17 = 559.22 : x
  2. Step 2: Convert to fraction form
    610.25/920.17 = 559.22/x
  3. Step 3: Cross multiply
    610.25x = 920.17 × 559.22
  4. Step 4: Simplify right side
    610.25x = 514,577.67
  5. Step 5: Solve for x
    x = 514,577.67/610.25
  6. Step 6: Final answer
    x = 843.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.