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Finding the Fourth Proportional to 611.73, 915.66 and 446.85

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Solution

The fourth proportional to 611.73, 915.66 and 446.85 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.73 : 915.66 = 446.85 : x
  2. Step 2: Convert to fraction form
    611.73/915.66 = 446.85/x
  3. Step 3: Cross multiply
    611.73x = 915.66 × 446.85
  4. Step 4: Simplify right side
    611.73x = 409,162.67
  5. Step 5: Solve for x
    x = 409,162.67/611.73
  6. Step 6: Final answer
    x = 668.86

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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.