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Finding the Fourth Proportional to 569.47, 785.80 and 320.88

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Solution

The fourth proportional to 569.47, 785.80 and 320.88 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.47 : 785.80 = 320.88 : x
  2. Step 2: Convert to fraction form
    569.47/785.80 = 320.88/x
  3. Step 3: Cross multiply
    569.47x = 785.80 × 320.88
  4. Step 4: Simplify right side
    569.47x = 252,147.50
  5. Step 5: Solve for x
    x = 252,147.50/569.47
  6. Step 6: Final answer
    x = 442.78

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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.