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Finding the Fourth Proportional to 1,356.80, 2,032.58 and 809.42

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Solution

The fourth proportional to 1,356.80, 2,032.58 and 809.42 is: 1,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.80 : 2,032.58 = 809.42 : x
  2. Step 2: Convert to fraction form
    1,356.80/2,032.58 = 809.42/x
  3. Step 3: Cross multiply
    1,356.80x = 2,032.58 × 809.42
  4. Step 4: Simplify right side
    1,356.80x = 1,645,210.90
  5. Step 5: Solve for x
    x = 1,645,210.90/1,356.80
  6. Step 6: Final answer
    x = 1,212.57

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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.