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Finding the Fourth Proportional to 465.62, 699.94 and 431.78

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Solution

The fourth proportional to 465.62, 699.94 and 431.78 is: 649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.62 : 699.94 = 431.78 : x
  2. Step 2: Convert to fraction form
    465.62/699.94 = 431.78/x
  3. Step 3: Cross multiply
    465.62x = 699.94 × 431.78
  4. Step 4: Simplify right side
    465.62x = 302,220.09
  5. Step 5: Solve for x
    x = 302,220.09/465.62
  6. Step 6: Final answer
    x = 649.07

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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.