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Finding the Fourth Proportional to 565.45, 780.19 and 365.92

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Solution

The fourth proportional to 565.45, 780.19 and 365.92 is: 504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 780.19 = 365.92 : x
  2. Step 2: Convert to fraction form
    565.45/780.19 = 365.92/x
  3. Step 3: Cross multiply
    565.45x = 780.19 × 365.92
  4. Step 4: Simplify right side
    565.45x = 285,487.12
  5. Step 5: Solve for x
    x = 285,487.12/565.45
  6. Step 6: Final answer
    x = 504.88

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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.