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Finding the Fourth Proportional to 565.68, 780.79 and 344.74

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Solution

The fourth proportional to 565.68, 780.79 and 344.74 is: 475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 780.79 = 344.74 : x
  2. Step 2: Convert to fraction form
    565.68/780.79 = 344.74/x
  3. Step 3: Cross multiply
    565.68x = 780.79 × 344.74
  4. Step 4: Simplify right side
    565.68x = 269,169.54
  5. Step 5: Solve for x
    x = 269,169.54/565.68
  6. Step 6: Final answer
    x = 475.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.