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Finding the Fourth Proportional to 742.50, 1,022.22 and 659.27

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Solution

The fourth proportional to 742.50, 1,022.22 and 659.27 is: 907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,022.22 = 659.27 : x
  2. Step 2: Convert to fraction form
    742.50/1,022.22 = 659.27/x
  3. Step 3: Cross multiply
    742.50x = 1,022.22 × 659.27
  4. Step 4: Simplify right side
    742.50x = 673,921.53
  5. Step 5: Solve for x
    x = 673,921.53/742.50
  6. Step 6: Final answer
    x = 907.64

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1.5x scale

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.