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Finding the Fourth Proportional to 516.92, 710.67 and 438.84

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Solution

The fourth proportional to 516.92, 710.67 and 438.84 is: 603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 710.67 = 438.84 : x
  2. Step 2: Convert to fraction form
    516.92/710.67 = 438.84/x
  3. Step 3: Cross multiply
    516.92x = 710.67 × 438.84
  4. Step 4: Simplify right side
    516.92x = 311,870.42
  5. Step 5: Solve for x
    x = 311,870.42/516.92
  6. Step 6: Final answer
    x = 603.32

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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.