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Finding the Fourth Proportional to 611.46, 916.99 and 172.60

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Solution

The fourth proportional to 611.46, 916.99 and 172.60 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.46 : 916.99 = 172.60 : x
  2. Step 2: Convert to fraction form
    611.46/916.99 = 172.60/x
  3. Step 3: Cross multiply
    611.46x = 916.99 × 172.60
  4. Step 4: Simplify right side
    611.46x = 158,269.75
  5. Step 5: Solve for x
    x = 158,269.75/611.46
  6. Step 6: Final answer
    x = 258.84

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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.