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Finding the Fourth Proportional to 1,630.41, 2,445.62 and 397.82

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Solution

The fourth proportional to 1,630.41, 2,445.62 and 397.82 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.41 : 2,445.62 = 397.82 : x
  2. Step 2: Convert to fraction form
    1,630.41/2,445.62 = 397.82/x
  3. Step 3: Cross multiply
    1,630.41x = 2,445.62 × 397.82
  4. Step 4: Simplify right side
    1,630.41x = 972,902.33
  5. Step 5: Solve for x
    x = 972,902.33/1,630.41
  6. Step 6: Final answer
    x = 596.72

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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.