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Finding the Fourth Proportional to 664.17, 990.45 and 565.56

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Solution

The fourth proportional to 664.17, 990.45 and 565.56 is: 843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.17 : 990.45 = 565.56 : x
  2. Step 2: Convert to fraction form
    664.17/990.45 = 565.56/x
  3. Step 3: Cross multiply
    664.17x = 990.45 × 565.56
  4. Step 4: Simplify right side
    664.17x = 560,158.90
  5. Step 5: Solve for x
    x = 560,158.90/664.17
  6. Step 6: Final answer
    x = 843.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.