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Finding the Fourth Proportional to 693.68, 955.83 and 472.24

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Solution

The fourth proportional to 693.68, 955.83 and 472.24 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.68 : 955.83 = 472.24 : x
  2. Step 2: Convert to fraction form
    693.68/955.83 = 472.24/x
  3. Step 3: Cross multiply
    693.68x = 955.83 × 472.24
  4. Step 4: Simplify right side
    693.68x = 451,378.80
  5. Step 5: Solve for x
    x = 451,378.80/693.68
  6. Step 6: Final answer
    x = 650.71

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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.