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Finding the Fourth Proportional to 613.97, 921.41 and 340.14

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Solution

The fourth proportional to 613.97, 921.41 and 340.14 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.97 : 921.41 = 340.14 : x
  2. Step 2: Convert to fraction form
    613.97/921.41 = 340.14/x
  3. Step 3: Cross multiply
    613.97x = 921.41 × 340.14
  4. Step 4: Simplify right side
    613.97x = 313,402.09
  5. Step 5: Solve for x
    x = 313,402.09/613.97
  6. Step 6: Final answer
    x = 510.45

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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.