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Finding the Fourth Proportional to 516.06, 778.23 and 444.78

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Solution

The fourth proportional to 516.06, 778.23 and 444.78 is: 670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 778.23 = 444.78 : x
  2. Step 2: Convert to fraction form
    516.06/778.23 = 444.78/x
  3. Step 3: Cross multiply
    516.06x = 778.23 × 444.78
  4. Step 4: Simplify right side
    516.06x = 346,141.14
  5. Step 5: Solve for x
    x = 346,141.14/516.06
  6. Step 6: Final answer
    x = 670.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.