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Finding the Fourth Proportional to 460.17, 634.70 and 439.47

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Solution

The fourth proportional to 460.17, 634.70 and 439.47 is: 606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 634.70 = 439.47 : x
  2. Step 2: Convert to fraction form
    460.17/634.70 = 439.47/x
  3. Step 3: Cross multiply
    460.17x = 634.70 × 439.47
  4. Step 4: Simplify right side
    460.17x = 278,929.41
  5. Step 5: Solve for x
    x = 278,929.41/460.17
  6. Step 6: Final answer
    x = 606.14

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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.