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Finding the Fourth Proportional to 655.02, 983.76 and 411.63

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Solution

The fourth proportional to 655.02, 983.76 and 411.63 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 983.76 = 411.63 : x
  2. Step 2: Convert to fraction form
    655.02/983.76 = 411.63/x
  3. Step 3: Cross multiply
    655.02x = 983.76 × 411.63
  4. Step 4: Simplify right side
    655.02x = 404,945.13
  5. Step 5: Solve for x
    x = 404,945.13/655.02
  6. Step 6: Final answer
    x = 618.22

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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.