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Finding the Fourth Proportional to 569.49, 855.22 and 339.83

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Solution

The fourth proportional to 569.49, 855.22 and 339.83 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 855.22 = 339.83 : x
  2. Step 2: Convert to fraction form
    569.49/855.22 = 339.83/x
  3. Step 3: Cross multiply
    569.49x = 855.22 × 339.83
  4. Step 4: Simplify right side
    569.49x = 290,629.41
  5. Step 5: Solve for x
    x = 290,629.41/569.49
  6. Step 6: Final answer
    x = 510.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.