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Finding the Fourth Proportional to 465.25, 697.23 and 420.31

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Solution

The fourth proportional to 465.25, 697.23 and 420.31 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.25 : 697.23 = 420.31 : x
  2. Step 2: Convert to fraction form
    465.25/697.23 = 420.31/x
  3. Step 3: Cross multiply
    465.25x = 697.23 × 420.31
  4. Step 4: Simplify right side
    465.25x = 293,052.74
  5. Step 5: Solve for x
    x = 293,052.74/465.25
  6. Step 6: Final answer
    x = 629.88

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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.