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Finding the Fourth Proportional to 488.99, 732.12 and 408.12

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Solution

The fourth proportional to 488.99, 732.12 and 408.12 is: 611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.99 : 732.12 = 408.12 : x
  2. Step 2: Convert to fraction form
    488.99/732.12 = 408.12/x
  3. Step 3: Cross multiply
    488.99x = 732.12 × 408.12
  4. Step 4: Simplify right side
    488.99x = 298,792.81
  5. Step 5: Solve for x
    x = 298,792.81/488.99
  6. Step 6: Final answer
    x = 611.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.