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Finding the Fourth Proportional to 565.43, 779.76 and 369

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Solution

The fourth proportional to 565.43, 779.76 and 369 is: 508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 779.76 = 369 : x
  2. Step 2: Convert to fraction form
    565.43/779.76 = 369/x
  3. Step 3: Cross multiply
    565.43x = 779.76 × 369
  4. Step 4: Simplify right side
    565.43x = 287,731.44
  5. Step 5: Solve for x
    x = 287,731.44/565.43
  6. Step 6: Final answer
    x = 508.88

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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.