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Finding the Fourth Proportional to 462.42, 640.90 and 453.78

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Solution

The fourth proportional to 462.42, 640.90 and 453.78 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 640.90 = 453.78 : x
  2. Step 2: Convert to fraction form
    462.42/640.90 = 453.78/x
  3. Step 3: Cross multiply
    462.42x = 640.90 × 453.78
  4. Step 4: Simplify right side
    462.42x = 290,827.60
  5. Step 5: Solve for x
    x = 290,827.60/462.42
  6. Step 6: Final answer
    x = 628.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.