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Finding the Fourth Proportional to 515.89, 773.73 and 429.78

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Solution

The fourth proportional to 515.89, 773.73 and 429.78 is: 644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.89 : 773.73 = 429.78 : x
  2. Step 2: Convert to fraction form
    515.89/773.73 = 429.78/x
  3. Step 3: Cross multiply
    515.89x = 773.73 × 429.78
  4. Step 4: Simplify right side
    515.89x = 332,529.81
  5. Step 5: Solve for x
    x = 332,529.81/515.89
  6. Step 6: Final answer
    x = 644.58

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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.