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Finding the Fourth Proportional to 610.78, 842 and 435.82

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Solution

The fourth proportional to 610.78, 842 and 435.82 is: 600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.78 : 842 = 435.82 : x
  2. Step 2: Convert to fraction form
    610.78/842 = 435.82/x
  3. Step 3: Cross multiply
    610.78x = 842 × 435.82
  4. Step 4: Simplify right side
    610.78x = 366,960.44
  5. Step 5: Solve for x
    x = 366,960.44/610.78
  6. Step 6: Final answer
    x = 600.81

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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.