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Finding the Fourth Proportional to 406.07, 608.02 and 325.07

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Solution

The fourth proportional to 406.07, 608.02 and 325.07 is: 486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 608.02 = 325.07 : x
  2. Step 2: Convert to fraction form
    406.07/608.02 = 325.07/x
  3. Step 3: Cross multiply
    406.07x = 608.02 × 325.07
  4. Step 4: Simplify right side
    406.07x = 197,645.21
  5. Step 5: Solve for x
    x = 197,645.21/406.07
  6. Step 6: Final answer
    x = 486.73

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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.