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Finding the Fourth Proportional to 565.76, 780.82 and 344.72

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Solution

The fourth proportional to 565.76, 780.82 and 344.72 is: 475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 780.82 = 344.72 : x
  2. Step 2: Convert to fraction form
    565.76/780.82 = 344.72/x
  3. Step 3: Cross multiply
    565.76x = 780.82 × 344.72
  4. Step 4: Simplify right side
    565.76x = 269,165.36
  5. Step 5: Solve for x
    x = 269,165.36/565.76
  6. Step 6: Final answer
    x = 475.76

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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.