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Finding the Fourth Proportional to 516.89, 773.51 and 378.23

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Solution

The fourth proportional to 516.89, 773.51 and 378.23 is: 566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.89 : 773.51 = 378.23 : x
  2. Step 2: Convert to fraction form
    516.89/773.51 = 378.23/x
  3. Step 3: Cross multiply
    516.89x = 773.51 × 378.23
  4. Step 4: Simplify right side
    516.89x = 292,564.69
  5. Step 5: Solve for x
    x = 292,564.69/516.89
  6. Step 6: Final answer
    x = 566.01

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1.5x scale

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.