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Finding the Fourth Proportional to 460.68, 689.69 and 254.48

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Solution

The fourth proportional to 460.68, 689.69 and 254.48 is: 380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.68 : 689.69 = 254.48 : x
  2. Step 2: Convert to fraction form
    460.68/689.69 = 254.48/x
  3. Step 3: Cross multiply
    460.68x = 689.69 × 254.48
  4. Step 4: Simplify right side
    460.68x = 175,512.31
  5. Step 5: Solve for x
    x = 175,512.31/460.68
  6. Step 6: Final answer
    x = 380.99

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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.