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Finding the Fourth Proportional to 1,380.17, 2,069.51 and 454.97

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Solution

The fourth proportional to 1,380.17, 2,069.51 and 454.97 is: 682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.17 : 2,069.51 = 454.97 : x
  2. Step 2: Convert to fraction form
    1,380.17/2,069.51 = 454.97/x
  3. Step 3: Cross multiply
    1,380.17x = 2,069.51 × 454.97
  4. Step 4: Simplify right side
    1,380.17x = 941,552.34
  5. Step 5: Solve for x
    x = 941,552.34/1,380.17
  6. Step 6: Final answer
    x = 682.20

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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.