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Finding the Fourth Proportional to 681.55, 1,022.84 and 499.42

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Solution

The fourth proportional to 681.55, 1,022.84 and 499.42 is: 749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.55 : 1,022.84 = 499.42 : x
  2. Step 2: Convert to fraction form
    681.55/1,022.84 = 499.42/x
  3. Step 3: Cross multiply
    681.55x = 1,022.84 × 499.42
  4. Step 4: Simplify right side
    681.55x = 510,826.75
  5. Step 5: Solve for x
    x = 510,826.75/681.55
  6. Step 6: Final answer
    x = 749.51

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1.5x scale

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.