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Finding the Fourth Proportional to 565.90, 847.76 and 331.07

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Solution

The fourth proportional to 565.90, 847.76 and 331.07 is: 495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 847.76 = 331.07 : x
  2. Step 2: Convert to fraction form
    565.90/847.76 = 331.07/x
  3. Step 3: Cross multiply
    565.90x = 847.76 × 331.07
  4. Step 4: Simplify right side
    565.90x = 280,666.87
  5. Step 5: Solve for x
    x = 280,666.87/565.90
  6. Step 6: Final answer
    x = 495.96

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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.