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Finding the Fourth Proportional to 568.80, 785.44 and 437.60

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Solution

The fourth proportional to 568.80, 785.44 and 437.60 is: 604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 785.44 = 437.60 : x
  2. Step 2: Convert to fraction form
    568.80/785.44 = 437.60/x
  3. Step 3: Cross multiply
    568.80x = 785.44 × 437.60
  4. Step 4: Simplify right side
    568.80x = 343,708.54
  5. Step 5: Solve for x
    x = 343,708.54/568.80
  6. Step 6: Final answer
    x = 604.27

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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.