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Finding the Fourth Proportional to 693.23, 1,033.26 and 640.56

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Solution

The fourth proportional to 693.23, 1,033.26 and 640.56 is: 954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 1,033.26 = 640.56 : x
  2. Step 2: Convert to fraction form
    693.23/1,033.26 = 640.56/x
  3. Step 3: Cross multiply
    693.23x = 1,033.26 × 640.56
  4. Step 4: Simplify right side
    693.23x = 661,865.03
  5. Step 5: Solve for x
    x = 661,865.03/693.23
  6. Step 6: Final answer
    x = 954.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.