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Finding the Fourth Proportional to 419.28, 631.70 and 347.69

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Solution

The fourth proportional to 419.28, 631.70 and 347.69 is: 523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 631.70 = 347.69 : x
  2. Step 2: Convert to fraction form
    419.28/631.70 = 347.69/x
  3. Step 3: Cross multiply
    419.28x = 631.70 × 347.69
  4. Step 4: Simplify right side
    419.28x = 219,636.92
  5. Step 5: Solve for x
    x = 219,636.92/419.28
  6. Step 6: Final answer
    x = 523.85

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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.