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Finding the Fourth Proportional to 1,269.04, 1,902.48 and 499.36

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Solution

The fourth proportional to 1,269.04, 1,902.48 and 499.36 is: 748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.04 : 1,902.48 = 499.36 : x
  2. Step 2: Convert to fraction form
    1,269.04/1,902.48 = 499.36/x
  3. Step 3: Cross multiply
    1,269.04x = 1,902.48 × 499.36
  4. Step 4: Simplify right side
    1,269.04x = 950,022.41
  5. Step 5: Solve for x
    x = 950,022.41/1,269.04
  6. Step 6: Final answer
    x = 748.62

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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.