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Finding the Fourth Proportional to 569.46, 786.17 and 419.97

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Solution

The fourth proportional to 569.46, 786.17 and 419.97 is: 579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.46 : 786.17 = 419.97 : x
  2. Step 2: Convert to fraction form
    569.46/786.17 = 419.97/x
  3. Step 3: Cross multiply
    569.46x = 786.17 × 419.97
  4. Step 4: Simplify right side
    569.46x = 330,165.72
  5. Step 5: Solve for x
    x = 330,165.72/569.46
  6. Step 6: Final answer
    x = 579.79

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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.