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Finding the Fourth Proportional to 655.27, 983.49 and 492.46

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Solution

The fourth proportional to 655.27, 983.49 and 492.46 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.27 : 983.49 = 492.46 : x
  2. Step 2: Convert to fraction form
    655.27/983.49 = 492.46/x
  3. Step 3: Cross multiply
    655.27x = 983.49 × 492.46
  4. Step 4: Simplify right side
    655.27x = 484,329.49
  5. Step 5: Solve for x
    x = 484,329.49/655.27
  6. Step 6: Final answer
    x = 739.13

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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.