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Finding the Fourth Proportional to 565.46, 779.91 and 369.08

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Solution

The fourth proportional to 565.46, 779.91 and 369.08 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 779.91 = 369.08 : x
  2. Step 2: Convert to fraction form
    565.46/779.91 = 369.08/x
  3. Step 3: Cross multiply
    565.46x = 779.91 × 369.08
  4. Step 4: Simplify right side
    565.46x = 287,849.18
  5. Step 5: Solve for x
    x = 287,849.18/565.46
  6. Step 6: Final answer
    x = 509.05

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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.