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Finding the Fourth Proportional to 461.81, 693.32 and 423.34

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Solution

The fourth proportional to 461.81, 693.32 and 423.34 is: 635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.81 : 693.32 = 423.34 : x
  2. Step 2: Convert to fraction form
    461.81/693.32 = 423.34/x
  3. Step 3: Cross multiply
    461.81x = 693.32 × 423.34
  4. Step 4: Simplify right side
    461.81x = 293,510.09
  5. Step 5: Solve for x
    x = 293,510.09/461.81
  6. Step 6: Final answer
    x = 635.56

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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.