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Finding the Fourth Proportional to 915.23, 1,371.27 and 640.82

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Solution

The fourth proportional to 915.23, 1,371.27 and 640.82 is: 960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.23 : 1,371.27 = 640.82 : x
  2. Step 2: Convert to fraction form
    915.23/1,371.27 = 640.82/x
  3. Step 3: Cross multiply
    915.23x = 1,371.27 × 640.82
  4. Step 4: Simplify right side
    915.23x = 878,737.24
  5. Step 5: Solve for x
    x = 878,737.24/915.23
  6. Step 6: Final answer
    x = 960.13

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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.