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Finding the Fourth Proportional to 490.34, 678.57 and 459.65

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Solution

The fourth proportional to 490.34, 678.57 and 459.65 is: 636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 678.57 = 459.65 : x
  2. Step 2: Convert to fraction form
    490.34/678.57 = 459.65/x
  3. Step 3: Cross multiply
    490.34x = 678.57 × 459.65
  4. Step 4: Simplify right side
    490.34x = 311,904.70
  5. Step 5: Solve for x
    x = 311,904.70/490.34
  6. Step 6: Final answer
    x = 636.10

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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.