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Finding the Fourth Proportional to 565.08, 849.15 and 305.27

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Solution

The fourth proportional to 565.08, 849.15 and 305.27 is: 458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 849.15 = 305.27 : x
  2. Step 2: Convert to fraction form
    565.08/849.15 = 305.27/x
  3. Step 3: Cross multiply
    565.08x = 849.15 × 305.27
  4. Step 4: Simplify right side
    565.08x = 259,218.96
  5. Step 5: Solve for x
    x = 259,218.96/565.08
  6. Step 6: Final answer
    x = 458.73

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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.