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Finding the Fourth Proportional to 773.46, 1,157.79 and 556.98

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Solution

The fourth proportional to 773.46, 1,157.79 and 556.98 is: 833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.46 : 1,157.79 = 556.98 : x
  2. Step 2: Convert to fraction form
    773.46/1,157.79 = 556.98/x
  3. Step 3: Cross multiply
    773.46x = 1,157.79 × 556.98
  4. Step 4: Simplify right side
    773.46x = 644,865.87
  5. Step 5: Solve for x
    x = 644,865.87/773.46
  6. Step 6: Final answer
    x = 833.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.