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Finding the Fourth Proportional to 915.36, 1,377.68 and 825.92

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Solution

The fourth proportional to 915.36, 1,377.68 and 825.92 is: 1,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.36 : 1,377.68 = 825.92 : x
  2. Step 2: Convert to fraction form
    915.36/1,377.68 = 825.92/x
  3. Step 3: Cross multiply
    915.36x = 1,377.68 × 825.92
  4. Step 4: Simplify right side
    915.36x = 1,137,853.47
  5. Step 5: Solve for x
    x = 1,137,853.47/915.36
  6. Step 6: Final answer
    x = 1,243.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.