Home / 1,506.57-2,255.04-982.38

Finding the Fourth Proportional to 1,506.57, 2,255.04 and 982.38

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Solution

The fourth proportional to 1,506.57, 2,255.04 and 982.38 is: 1,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.57 : 2,255.04 = 982.38 : x
  2. Step 2: Convert to fraction form
    1,506.57/2,255.04 = 982.38/x
  3. Step 3: Cross multiply
    1,506.57x = 2,255.04 × 982.38
  4. Step 4: Simplify right side
    1,506.57x = 2,215,306.20
  5. Step 5: Solve for x
    x = 2,215,306.20/1,506.57
  6. Step 6: Final answer
    x = 1,470.43

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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.