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Finding the Fourth Proportional to 655.56, 983.81 and 309.29

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Solution

The fourth proportional to 655.56, 983.81 and 309.29 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.56 : 983.81 = 309.29 : x
  2. Step 2: Convert to fraction form
    655.56/983.81 = 309.29/x
  3. Step 3: Cross multiply
    655.56x = 983.81 × 309.29
  4. Step 4: Simplify right side
    655.56x = 304,278.45
  5. Step 5: Solve for x
    x = 304,278.45/655.56
  6. Step 6: Final answer
    x = 464.15

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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.