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Finding the Fourth Proportional to 472.28, 707.34 and 423.68

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Solution

The fourth proportional to 472.28, 707.34 and 423.68 is: 634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 707.34 = 423.68 : x
  2. Step 2: Convert to fraction form
    472.28/707.34 = 423.68/x
  3. Step 3: Cross multiply
    472.28x = 707.34 × 423.68
  4. Step 4: Simplify right side
    472.28x = 299,685.81
  5. Step 5: Solve for x
    x = 299,685.81/472.28
  6. Step 6: Final answer
    x = 634.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.