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Finding the Fourth Proportional to 611.71, 844.15 and 346.15

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Solution

The fourth proportional to 611.71, 844.15 and 346.15 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.71 : 844.15 = 346.15 : x
  2. Step 2: Convert to fraction form
    611.71/844.15 = 346.15/x
  3. Step 3: Cross multiply
    611.71x = 844.15 × 346.15
  4. Step 4: Simplify right side
    611.71x = 292,202.52
  5. Step 5: Solve for x
    x = 292,202.52/611.71
  6. Step 6: Final answer
    x = 477.68

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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.