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Finding the Fourth Proportional to 427.12, 591.80 and 417.90

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Solution

The fourth proportional to 427.12, 591.80 and 417.90 is: 579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 591.80 = 417.90 : x
  2. Step 2: Convert to fraction form
    427.12/591.80 = 417.90/x
  3. Step 3: Cross multiply
    427.12x = 591.80 × 417.90
  4. Step 4: Simplify right side
    427.12x = 247,313.22
  5. Step 5: Solve for x
    x = 247,313.22/427.12
  6. Step 6: Final answer
    x = 579.03

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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.