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Finding the Fourth Proportional to 1,915.72, 2,872.29 and 665.99

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Solution

The fourth proportional to 1,915.72, 2,872.29 and 665.99 is: 998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.72 : 2,872.29 = 665.99 : x
  2. Step 2: Convert to fraction form
    1,915.72/2,872.29 = 665.99/x
  3. Step 3: Cross multiply
    1,915.72x = 2,872.29 × 665.99
  4. Step 4: Simplify right side
    1,915.72x = 1,912,916.42
  5. Step 5: Solve for x
    x = 1,912,916.42/1,915.72
  6. Step 6: Final answer
    x = 998.54

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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.