Home / 1,473.05-2,032.85-809.92

Finding the Fourth Proportional to 1,473.05, 2,032.85 and 809.92

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Solution

The fourth proportional to 1,473.05, 2,032.85 and 809.92 is: 1,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.05 : 2,032.85 = 809.92 : x
  2. Step 2: Convert to fraction form
    1,473.05/2,032.85 = 809.92/x
  3. Step 3: Cross multiply
    1,473.05x = 2,032.85 × 809.92
  4. Step 4: Simplify right side
    1,473.05x = 1,646,452.98
  5. Step 5: Solve for x
    x = 1,646,452.98/1,473.05
  6. Step 6: Final answer
    x = 1,117.72

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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.