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Finding the Fourth Proportional to 611.45, 916.26 and 337.62

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Solution

The fourth proportional to 611.45, 916.26 and 337.62 is: 505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.45 : 916.26 = 337.62 : x
  2. Step 2: Convert to fraction form
    611.45/916.26 = 337.62/x
  3. Step 3: Cross multiply
    611.45x = 916.26 × 337.62
  4. Step 4: Simplify right side
    611.45x = 309,346.62
  5. Step 5: Solve for x
    x = 309,346.62/611.45
  6. Step 6: Final answer
    x = 505.92

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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.