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Finding the Fourth Proportional to 569.20, 785.28 and 421.60

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Solution

The fourth proportional to 569.20, 785.28 and 421.60 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.20 : 785.28 = 421.60 : x
  2. Step 2: Convert to fraction form
    569.20/785.28 = 421.60/x
  3. Step 3: Cross multiply
    569.20x = 785.28 × 421.60
  4. Step 4: Simplify right side
    569.20x = 331,074.05
  5. Step 5: Solve for x
    x = 331,074.05/569.20
  6. Step 6: Final answer
    x = 581.65

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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.