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Finding the Fourth Proportional to 490.51, 738.67 and 409.02

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Solution

The fourth proportional to 490.51, 738.67 and 409.02 is: 615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.51 : 738.67 = 409.02 : x
  2. Step 2: Convert to fraction form
    490.51/738.67 = 409.02/x
  3. Step 3: Cross multiply
    490.51x = 738.67 × 409.02
  4. Step 4: Simplify right side
    490.51x = 302,130.80
  5. Step 5: Solve for x
    x = 302,130.80/490.51
  6. Step 6: Final answer
    x = 615.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.