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Finding the Fourth Proportional to 427.07, 591.74 and 417.85

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Solution

The fourth proportional to 427.07, 591.74 and 417.85 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.07 : 591.74 = 417.85 : x
  2. Step 2: Convert to fraction form
    427.07/591.74 = 417.85/x
  3. Step 3: Cross multiply
    427.07x = 591.74 × 417.85
  4. Step 4: Simplify right side
    427.07x = 247,258.56
  5. Step 5: Solve for x
    x = 247,258.56/427.07
  6. Step 6: Final answer
    x = 578.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.