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Finding the Fourth Proportional to 516.60, 773.99 and 430.49

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Solution

The fourth proportional to 516.60, 773.99 and 430.49 is: 644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 773.99 = 430.49 : x
  2. Step 2: Convert to fraction form
    516.60/773.99 = 430.49/x
  3. Step 3: Cross multiply
    516.60x = 773.99 × 430.49
  4. Step 4: Simplify right side
    516.60x = 333,192.16
  5. Step 5: Solve for x
    x = 333,192.16/516.60
  6. Step 6: Final answer
    x = 644.97

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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.