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Finding the Fourth Proportional to 611.92, 916.20 and 417.28

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Solution

The fourth proportional to 611.92, 916.20 and 417.28 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.92 : 916.20 = 417.28 : x
  2. Step 2: Convert to fraction form
    611.92/916.20 = 417.28/x
  3. Step 3: Cross multiply
    611.92x = 916.20 × 417.28
  4. Step 4: Simplify right side
    611.92x = 382,311.94
  5. Step 5: Solve for x
    x = 382,311.94/611.92
  6. Step 6: Final answer
    x = 624.77

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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.