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Finding the Fourth Proportional to 610.05, 841.41 and 399.89

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Solution

The fourth proportional to 610.05, 841.41 and 399.89 is: 551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.05 : 841.41 = 399.89 : x
  2. Step 2: Convert to fraction form
    610.05/841.41 = 399.89/x
  3. Step 3: Cross multiply
    610.05x = 841.41 × 399.89
  4. Step 4: Simplify right side
    610.05x = 336,467.24
  5. Step 5: Solve for x
    x = 336,467.24/610.05
  6. Step 6: Final answer
    x = 551.54

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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.