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Finding the Fourth Proportional to 610.26, 842.04 and 361.53

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Solution

The fourth proportional to 610.26, 842.04 and 361.53 is: 498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.26 : 842.04 = 361.53 : x
  2. Step 2: Convert to fraction form
    610.26/842.04 = 361.53/x
  3. Step 3: Cross multiply
    610.26x = 842.04 × 361.53
  4. Step 4: Simplify right side
    610.26x = 304,422.72
  5. Step 5: Solve for x
    x = 304,422.72/610.26
  6. Step 6: Final answer
    x = 498.84

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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.