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Finding the Fourth Proportional to 676.92, 933.32 and 559.37

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Solution

The fourth proportional to 676.92, 933.32 and 559.37 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 933.32 = 559.37 : x
  2. Step 2: Convert to fraction form
    676.92/933.32 = 559.37/x
  3. Step 3: Cross multiply
    676.92x = 933.32 × 559.37
  4. Step 4: Simplify right side
    676.92x = 522,063.74
  5. Step 5: Solve for x
    x = 522,063.74/676.92
  6. Step 6: Final answer
    x = 771.23

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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.