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Finding the Fourth Proportional to 565.69, 843.56 and 520.81

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Solution

The fourth proportional to 565.69, 843.56 and 520.81 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 843.56 = 520.81 : x
  2. Step 2: Convert to fraction form
    565.69/843.56 = 520.81/x
  3. Step 3: Cross multiply
    565.69x = 843.56 × 520.81
  4. Step 4: Simplify right side
    565.69x = 439,334.48
  5. Step 5: Solve for x
    x = 439,334.48/565.69
  6. Step 6: Final answer
    x = 776.63

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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.