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Finding the Fourth Proportional to 671.64, 923.85 and 573.23

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Solution

The fourth proportional to 671.64, 923.85 and 573.23 is: 788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 923.85 = 573.23 : x
  2. Step 2: Convert to fraction form
    671.64/923.85 = 573.23/x
  3. Step 3: Cross multiply
    671.64x = 923.85 × 573.23
  4. Step 4: Simplify right side
    671.64x = 529,573.92
  5. Step 5: Solve for x
    x = 529,573.92/671.64
  6. Step 6: Final answer
    x = 788.48

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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.