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Finding the Fourth Proportional to 460.68, 634.45 and 382.34

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Solution

The fourth proportional to 460.68, 634.45 and 382.34 is: 526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.68 : 634.45 = 382.34 : x
  2. Step 2: Convert to fraction form
    460.68/634.45 = 382.34/x
  3. Step 3: Cross multiply
    460.68x = 634.45 × 382.34
  4. Step 4: Simplify right side
    460.68x = 242,575.61
  5. Step 5: Solve for x
    x = 242,575.61/460.68
  6. Step 6: Final answer
    x = 526.56

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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.