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Finding the Fourth Proportional to 465.01, 697.30 and 419.78

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Solution

The fourth proportional to 465.01, 697.30 and 419.78 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.01 : 697.30 = 419.78 : x
  2. Step 2: Convert to fraction form
    465.01/697.30 = 419.78/x
  3. Step 3: Cross multiply
    465.01x = 697.30 × 419.78
  4. Step 4: Simplify right side
    465.01x = 292,712.59
  5. Step 5: Solve for x
    x = 292,712.59/465.01
  6. Step 6: Final answer
    x = 629.48

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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.