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Finding the Fourth Proportional to 1,252.10, 1,877.90 and 733.10

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Solution

The fourth proportional to 1,252.10, 1,877.90 and 733.10 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.10 : 1,877.90 = 733.10 : x
  2. Step 2: Convert to fraction form
    1,252.10/1,877.90 = 733.10/x
  3. Step 3: Cross multiply
    1,252.10x = 1,877.90 × 733.10
  4. Step 4: Simplify right side
    1,252.10x = 1,376,675.44
  5. Step 5: Solve for x
    x = 1,376,675.44/1,252.10
  6. Step 6: Final answer
    x = 1,099.50

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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.