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Finding the Fourth Proportional to 611.65, 916.01 and 415.97

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Solution

The fourth proportional to 611.65, 916.01 and 415.97 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.65 : 916.01 = 415.97 : x
  2. Step 2: Convert to fraction form
    611.65/916.01 = 415.97/x
  3. Step 3: Cross multiply
    611.65x = 916.01 × 415.97
  4. Step 4: Simplify right side
    611.65x = 381,031.01
  5. Step 5: Solve for x
    x = 381,031.01/611.65
  6. Step 6: Final answer
    x = 622.95

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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.