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Finding the Fourth Proportional to 427.09, 591.08 and 416.87

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Solution

The fourth proportional to 427.09, 591.08 and 416.87 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 591.08 = 416.87 : x
  2. Step 2: Convert to fraction form
    427.09/591.08 = 416.87/x
  3. Step 3: Cross multiply
    427.09x = 591.08 × 416.87
  4. Step 4: Simplify right side
    427.09x = 246,401.44
  5. Step 5: Solve for x
    x = 246,401.44/427.09
  6. Step 6: Final answer
    x = 576.93

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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.