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Finding the Fourth Proportional to 688.05, 944.92 and 577.33

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Solution

The fourth proportional to 688.05, 944.92 and 577.33 is: 792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.05 : 944.92 = 577.33 : x
  2. Step 2: Convert to fraction form
    688.05/944.92 = 577.33/x
  3. Step 3: Cross multiply
    688.05x = 944.92 × 577.33
  4. Step 4: Simplify right side
    688.05x = 545,529.02
  5. Step 5: Solve for x
    x = 545,529.02/688.05
  6. Step 6: Final answer
    x = 792.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.