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Finding the Fourth Proportional to 465.62, 641.03 and 442.53

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Solution

The fourth proportional to 465.62, 641.03 and 442.53 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.62 : 641.03 = 442.53 : x
  2. Step 2: Convert to fraction form
    465.62/641.03 = 442.53/x
  3. Step 3: Cross multiply
    465.62x = 641.03 × 442.53
  4. Step 4: Simplify right side
    465.62x = 283,672.79
  5. Step 5: Solve for x
    x = 283,672.79/465.62
  6. Step 6: Final answer
    x = 609.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.