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Finding the Fourth Proportional to 569.42, 785.78 and 320.75

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Solution

The fourth proportional to 569.42, 785.78 and 320.75 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.42 : 785.78 = 320.75 : x
  2. Step 2: Convert to fraction form
    569.42/785.78 = 320.75/x
  3. Step 3: Cross multiply
    569.42x = 785.78 × 320.75
  4. Step 4: Simplify right side
    569.42x = 252,037.33
  5. Step 5: Solve for x
    x = 252,037.33/569.42
  6. Step 6: Final answer
    x = 442.62

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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.