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Finding the Fourth Proportional to 490.08, 677.04 and 428.16

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Solution

The fourth proportional to 490.08, 677.04 and 428.16 is: 591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 677.04 = 428.16 : x
  2. Step 2: Convert to fraction form
    490.08/677.04 = 428.16/x
  3. Step 3: Cross multiply
    490.08x = 677.04 × 428.16
  4. Step 4: Simplify right side
    490.08x = 289,881.45
  5. Step 5: Solve for x
    x = 289,881.45/490.08
  6. Step 6: Final answer
    x = 591.50

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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.