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Finding the Fourth Proportional to 565.79, 780.69 and 344.81

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Solution

The fourth proportional to 565.79, 780.69 and 344.81 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 780.69 = 344.81 : x
  2. Step 2: Convert to fraction form
    565.79/780.69 = 344.81/x
  3. Step 3: Cross multiply
    565.79x = 780.69 × 344.81
  4. Step 4: Simplify right side
    565.79x = 269,191.67
  5. Step 5: Solve for x
    x = 269,191.67/565.79
  6. Step 6: Final answer
    x = 475.78

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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.