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Finding the Fourth Proportional to 1,253.61, 1,879.12 and 635.44

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Solution

The fourth proportional to 1,253.61, 1,879.12 and 635.44 is: 952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.61 : 1,879.12 = 635.44 : x
  2. Step 2: Convert to fraction form
    1,253.61/1,879.12 = 635.44/x
  3. Step 3: Cross multiply
    1,253.61x = 1,879.12 × 635.44
  4. Step 4: Simplify right side
    1,253.61x = 1,194,068.01
  5. Step 5: Solve for x
    x = 1,194,068.01/1,253.61
  6. Step 6: Final answer
    x = 952.50

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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.