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Finding the Fourth Proportional to 565.26, 843.94 and 488.14

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Solution

The fourth proportional to 565.26, 843.94 and 488.14 is: 728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 843.94 = 488.14 : x
  2. Step 2: Convert to fraction form
    565.26/843.94 = 488.14/x
  3. Step 3: Cross multiply
    565.26x = 843.94 × 488.14
  4. Step 4: Simplify right side
    565.26x = 411,960.87
  5. Step 5: Solve for x
    x = 411,960.87/565.26
  6. Step 6: Final answer
    x = 728.80

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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.