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Finding the Fourth Proportional to 611.31, 916.97 and 172.57

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Solution

The fourth proportional to 611.31, 916.97 and 172.57 is: 258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.31 : 916.97 = 172.57 : x
  2. Step 2: Convert to fraction form
    611.31/916.97 = 172.57/x
  3. Step 3: Cross multiply
    611.31x = 916.97 × 172.57
  4. Step 4: Simplify right side
    611.31x = 158,239.08
  5. Step 5: Solve for x
    x = 158,239.08/611.31
  6. Step 6: Final answer
    x = 258.85

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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.