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Finding the Fourth Proportional to 516.24, 705.78 and 496.08

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Solution

The fourth proportional to 516.24, 705.78 and 496.08 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 705.78 = 496.08 : x
  2. Step 2: Convert to fraction form
    516.24/705.78 = 496.08/x
  3. Step 3: Cross multiply
    516.24x = 705.78 × 496.08
  4. Step 4: Simplify right side
    516.24x = 350,123.34
  5. Step 5: Solve for x
    x = 350,123.34/516.24
  6. Step 6: Final answer
    x = 678.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.