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Finding the Fourth Proportional to 565.24, 779.82 and 355.24

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Solution

The fourth proportional to 565.24, 779.82 and 355.24 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 779.82 = 355.24 : x
  2. Step 2: Convert to fraction form
    565.24/779.82 = 355.24/x
  3. Step 3: Cross multiply
    565.24x = 779.82 × 355.24
  4. Step 4: Simplify right side
    565.24x = 277,023.26
  5. Step 5: Solve for x
    x = 277,023.26/565.24
  6. Step 6: Final answer
    x = 490.10

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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.