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Finding the Fourth Proportional to 611.61, 843.95 and 346.04

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Solution

The fourth proportional to 611.61, 843.95 and 346.04 is: 477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.61 : 843.95 = 346.04 : x
  2. Step 2: Convert to fraction form
    611.61/843.95 = 346.04/x
  3. Step 3: Cross multiply
    611.61x = 843.95 × 346.04
  4. Step 4: Simplify right side
    611.61x = 292,034.51
  5. Step 5: Solve for x
    x = 292,034.51/611.61
  6. Step 6: Final answer
    x = 477.48

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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.