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Finding the Fourth Proportional to 611.57, 916.67 and 264.78

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Solution

The fourth proportional to 611.57, 916.67 and 264.78 is: 396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.57 : 916.67 = 264.78 : x
  2. Step 2: Convert to fraction form
    611.57/916.67 = 264.78/x
  3. Step 3: Cross multiply
    611.57x = 916.67 × 264.78
  4. Step 4: Simplify right side
    611.57x = 242,714.56
  5. Step 5: Solve for x
    x = 242,714.56/611.57
  6. Step 6: Final answer
    x = 396.87

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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.