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Finding the Fourth Proportional to 611.39, 916.80 and 380.27

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Solution

The fourth proportional to 611.39, 916.80 and 380.27 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.39 : 916.80 = 380.27 : x
  2. Step 2: Convert to fraction form
    611.39/916.80 = 380.27/x
  3. Step 3: Cross multiply
    611.39x = 916.80 × 380.27
  4. Step 4: Simplify right side
    611.39x = 348,626.95
  5. Step 5: Solve for x
    x = 348,626.95/611.39
  6. Step 6: Final answer
    x = 570.22

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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.