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Finding the Fourth Proportional to 460.35, 634.43 and 381.43

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Solution

The fourth proportional to 460.35, 634.43 and 381.43 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.35 : 634.43 = 381.43 : x
  2. Step 2: Convert to fraction form
    460.35/634.43 = 381.43/x
  3. Step 3: Cross multiply
    460.35x = 634.43 × 381.43
  4. Step 4: Simplify right side
    460.35x = 241,988.81
  5. Step 5: Solve for x
    x = 241,988.81/460.35
  6. Step 6: Final answer
    x = 525.66

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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.