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Finding the Fourth Proportional to 465.23, 640.41 and 402.19

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Solution

The fourth proportional to 465.23, 640.41 and 402.19 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 640.41 = 402.19 : x
  2. Step 2: Convert to fraction form
    465.23/640.41 = 402.19/x
  3. Step 3: Cross multiply
    465.23x = 640.41 × 402.19
  4. Step 4: Simplify right side
    465.23x = 257,563.30
  5. Step 5: Solve for x
    x = 257,563.30/465.23
  6. Step 6: Final answer
    x = 553.62

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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.