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Finding the Fourth Proportional to 490.59, 732.71 and 387.99

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Solution

The fourth proportional to 490.59, 732.71 and 387.99 is: 579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.59 : 732.71 = 387.99 : x
  2. Step 2: Convert to fraction form
    490.59/732.71 = 387.99/x
  3. Step 3: Cross multiply
    490.59x = 732.71 × 387.99
  4. Step 4: Simplify right side
    490.59x = 284,285.12
  5. Step 5: Solve for x
    x = 284,285.12/490.59
  6. Step 6: Final answer
    x = 579.48

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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.