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Finding the Fourth Proportional to 645.29, 890.36 and 408.81

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Solution

The fourth proportional to 645.29, 890.36 and 408.81 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.29 : 890.36 = 408.81 : x
  2. Step 2: Convert to fraction form
    645.29/890.36 = 408.81/x
  3. Step 3: Cross multiply
    645.29x = 890.36 × 408.81
  4. Step 4: Simplify right side
    645.29x = 363,988.07
  5. Step 5: Solve for x
    x = 363,988.07/645.29
  6. Step 6: Final answer
    x = 564.07

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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.