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Finding the Fourth Proportional to 655.39, 983.61 and 614.34

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Solution

The fourth proportional to 655.39, 983.61 and 614.34 is: 922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.39 : 983.61 = 614.34 : x
  2. Step 2: Convert to fraction form
    655.39/983.61 = 614.34/x
  3. Step 3: Cross multiply
    655.39x = 983.61 × 614.34
  4. Step 4: Simplify right side
    655.39x = 604,270.97
  5. Step 5: Solve for x
    x = 604,270.97/655.39
  6. Step 6: Final answer
    x = 922.00

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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.