Home / 1,503.18-2,255.38-809.42

Finding the Fourth Proportional to 1,503.18, 2,255.38 and 809.42

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Solution

The fourth proportional to 1,503.18, 2,255.38 and 809.42 is: 1,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.18 : 2,255.38 = 809.42 : x
  2. Step 2: Convert to fraction form
    1,503.18/2,255.38 = 809.42/x
  3. Step 3: Cross multiply
    1,503.18x = 2,255.38 × 809.42
  4. Step 4: Simplify right side
    1,503.18x = 1,825,536.38
  5. Step 5: Solve for x
    x = 1,825,536.38/1,503.18
  6. Step 6: Final answer
    x = 1,214.45

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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.