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Finding the Fourth Proportional to 490.91, 732.80 and 454.77

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Solution

The fourth proportional to 490.91, 732.80 and 454.77 is: 678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.91 : 732.80 = 454.77 : x
  2. Step 2: Convert to fraction form
    490.91/732.80 = 454.77/x
  3. Step 3: Cross multiply
    490.91x = 732.80 × 454.77
  4. Step 4: Simplify right side
    490.91x = 333,253.18
  5. Step 5: Solve for x
    x = 333,253.18/490.91
  6. Step 6: Final answer
    x = 678.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.