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Finding the Fourth Proportional to 1,502.50, 2,253.78 and 406.96

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Solution

The fourth proportional to 1,502.50, 2,253.78 and 406.96 is: 610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.50 : 2,253.78 = 406.96 : x
  2. Step 2: Convert to fraction form
    1,502.50/2,253.78 = 406.96/x
  3. Step 3: Cross multiply
    1,502.50x = 2,253.78 × 406.96
  4. Step 4: Simplify right side
    1,502.50x = 917,198.31
  5. Step 5: Solve for x
    x = 917,198.31/1,502.50
  6. Step 6: Final answer
    x = 610.45

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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.