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Finding the Fourth Proportional to 1,472.74, 2,032.46 and 809.65

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Solution

The fourth proportional to 1,472.74, 2,032.46 and 809.65 is: 1,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.74 : 2,032.46 = 809.65 : x
  2. Step 2: Convert to fraction form
    1,472.74/2,032.46 = 809.65/x
  3. Step 3: Cross multiply
    1,472.74x = 2,032.46 × 809.65
  4. Step 4: Simplify right side
    1,472.74x = 1,645,581.24
  5. Step 5: Solve for x
    x = 1,645,581.24/1,472.74
  6. Step 6: Final answer
    x = 1,117.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.