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Finding the Fourth Proportional to 1,503.83, 2,256.90 and 682.70

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Solution

The fourth proportional to 1,503.83, 2,256.90 and 682.70 is: 1,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.83 : 2,256.90 = 682.70 : x
  2. Step 2: Convert to fraction form
    1,503.83/2,256.90 = 682.70/x
  3. Step 3: Cross multiply
    1,503.83x = 2,256.90 × 682.70
  4. Step 4: Simplify right side
    1,503.83x = 1,540,771.79
  5. Step 5: Solve for x
    x = 1,540,771.79/1,503.83
  6. Step 6: Final answer
    x = 1,024.56

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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.