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Finding the Fourth Proportional to 610.05, 841.89 and 348.08

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Solution

The fourth proportional to 610.05, 841.89 and 348.08 is: 480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.05 : 841.89 = 348.08 : x
  2. Step 2: Convert to fraction form
    610.05/841.89 = 348.08/x
  3. Step 3: Cross multiply
    610.05x = 841.89 × 348.08
  4. Step 4: Simplify right side
    610.05x = 293,046.90
  5. Step 5: Solve for x
    x = 293,046.90/610.05
  6. Step 6: Final answer
    x = 480.37

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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.