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Finding the Fourth Proportional to 915.62, 1,260.36 and 798.98

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Solution

The fourth proportional to 915.62, 1,260.36 and 798.98 is: 1,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.62 : 1,260.36 = 798.98 : x
  2. Step 2: Convert to fraction form
    915.62/1,260.36 = 798.98/x
  3. Step 3: Cross multiply
    915.62x = 1,260.36 × 798.98
  4. Step 4: Simplify right side
    915.62x = 1,007,002.43
  5. Step 5: Solve for x
    x = 1,007,002.43/915.62
  6. Step 6: Final answer
    x = 1,099.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.