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Finding the Fourth Proportional to 1,234.87, 1,851.27 and 494.02

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Solution

The fourth proportional to 1,234.87, 1,851.27 and 494.02 is: 740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.87 : 1,851.27 = 494.02 : x
  2. Step 2: Convert to fraction form
    1,234.87/1,851.27 = 494.02/x
  3. Step 3: Cross multiply
    1,234.87x = 1,851.27 × 494.02
  4. Step 4: Simplify right side
    1,234.87x = 914,564.41
  5. Step 5: Solve for x
    x = 914,564.41/1,234.87
  6. Step 6: Final answer
    x = 740.62

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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.