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Finding the Fourth Proportional to 1,502.28, 2,254.50 and 809.46

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Solution

The fourth proportional to 1,502.28, 2,254.50 and 809.46 is: 1,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.28 : 2,254.50 = 809.46 : x
  2. Step 2: Convert to fraction form
    1,502.28/2,254.50 = 809.46/x
  3. Step 3: Cross multiply
    1,502.28x = 2,254.50 × 809.46
  4. Step 4: Simplify right side
    1,502.28x = 1,824,927.57
  5. Step 5: Solve for x
    x = 1,824,927.57/1,502.28
  6. Step 6: Final answer
    x = 1,214.77

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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.