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Finding the Fourth Proportional to 610.09, 841.85 and 361.35

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Solution

The fourth proportional to 610.09, 841.85 and 361.35 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.09 : 841.85 = 361.35 : x
  2. Step 2: Convert to fraction form
    610.09/841.85 = 361.35/x
  3. Step 3: Cross multiply
    610.09x = 841.85 × 361.35
  4. Step 4: Simplify right side
    610.09x = 304,202.05
  5. Step 5: Solve for x
    x = 304,202.05/610.09
  6. Step 6: Final answer
    x = 498.62

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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.