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Finding the Fourth Proportional to 669.56, 922.98 and 575.81

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Solution

The fourth proportional to 669.56, 922.98 and 575.81 is: 793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 922.98 = 575.81 : x
  2. Step 2: Convert to fraction form
    669.56/922.98 = 575.81/x
  3. Step 3: Cross multiply
    669.56x = 922.98 × 575.81
  4. Step 4: Simplify right side
    669.56x = 531,458.66
  5. Step 5: Solve for x
    x = 531,458.66/669.56
  6. Step 6: Final answer
    x = 793.74

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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.