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Finding the Fourth Proportional to 490.86, 677.16 and 464.40

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Solution

The fourth proportional to 490.86, 677.16 and 464.40 is: 640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 677.16 = 464.40 : x
  2. Step 2: Convert to fraction form
    490.86/677.16 = 464.40/x
  3. Step 3: Cross multiply
    490.86x = 677.16 × 464.40
  4. Step 4: Simplify right side
    490.86x = 314,473.10
  5. Step 5: Solve for x
    x = 314,473.10/490.86
  6. Step 6: Final answer
    x = 640.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.