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Finding the Fourth Proportional to 471.92, 710.78 and 438.12

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Solution

The fourth proportional to 471.92, 710.78 and 438.12 is: 659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.92 : 710.78 = 438.12 : x
  2. Step 2: Convert to fraction form
    471.92/710.78 = 438.12/x
  3. Step 3: Cross multiply
    471.92x = 710.78 × 438.12
  4. Step 4: Simplify right side
    471.92x = 311,404.74
  5. Step 5: Solve for x
    x = 311,404.74/471.92
  6. Step 6: Final answer
    x = 659.87

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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.