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Finding the Fourth Proportional to 565.13, 779.86 and 329.09

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Solution

The fourth proportional to 565.13, 779.86 and 329.09 is: 454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 779.86 = 329.09 : x
  2. Step 2: Convert to fraction form
    565.13/779.86 = 329.09/x
  3. Step 3: Cross multiply
    565.13x = 779.86 × 329.09
  4. Step 4: Simplify right side
    565.13x = 256,644.46
  5. Step 5: Solve for x
    x = 256,644.46/565.13
  6. Step 6: Final answer
    x = 454.13

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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.