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Finding the Fourth Proportional to 461.73, 696.20 and 423.45

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Solution

The fourth proportional to 461.73, 696.20 and 423.45 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 696.20 = 423.45 : x
  2. Step 2: Convert to fraction form
    461.73/696.20 = 423.45/x
  3. Step 3: Cross multiply
    461.73x = 696.20 × 423.45
  4. Step 4: Simplify right side
    461.73x = 294,803.77
  5. Step 5: Solve for x
    x = 294,803.77/461.73
  6. Step 6: Final answer
    x = 638.48

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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.