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Finding the Fourth Proportional to 569.21, 785.49 and 320.60

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Solution

The fourth proportional to 569.21, 785.49 and 320.60 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.21 : 785.49 = 320.60 : x
  2. Step 2: Convert to fraction form
    569.21/785.49 = 320.60/x
  3. Step 3: Cross multiply
    569.21x = 785.49 × 320.60
  4. Step 4: Simplify right side
    569.21x = 251,828.09
  5. Step 5: Solve for x
    x = 251,828.09/569.21
  6. Step 6: Final answer
    x = 442.42

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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.