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Finding the Fourth Proportional to 569.12, 785.37 and 333.21

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Solution

The fourth proportional to 569.12, 785.37 and 333.21 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 785.37 = 333.21 : x
  2. Step 2: Convert to fraction form
    569.12/785.37 = 333.21/x
  3. Step 3: Cross multiply
    569.12x = 785.37 × 333.21
  4. Step 4: Simplify right side
    569.12x = 261,693.14
  5. Step 5: Solve for x
    x = 261,693.14/569.12
  6. Step 6: Final answer
    x = 459.82

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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.