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Finding the Fourth Proportional to 611.27, 916.88 and 405.78

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Solution

The fourth proportional to 611.27, 916.88 and 405.78 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.27 : 916.88 = 405.78 : x
  2. Step 2: Convert to fraction form
    611.27/916.88 = 405.78/x
  3. Step 3: Cross multiply
    611.27x = 916.88 × 405.78
  4. Step 4: Simplify right side
    611.27x = 372,049.54
  5. Step 5: Solve for x
    x = 372,049.54/611.27
  6. Step 6: Final answer
    x = 608.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.