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Finding the Fourth Proportional to 610.49, 842.25 and 400.78

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Solution

The fourth proportional to 610.49, 842.25 and 400.78 is: 552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.49 : 842.25 = 400.78 : x
  2. Step 2: Convert to fraction form
    610.49/842.25 = 400.78/x
  3. Step 3: Cross multiply
    610.49x = 842.25 × 400.78
  4. Step 4: Simplify right side
    610.49x = 337,556.96
  5. Step 5: Solve for x
    x = 337,556.96/610.49
  6. Step 6: Final answer
    x = 552.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.