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Finding the Fourth Proportional to 465.96, 700.03 and 439.69

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Solution

The fourth proportional to 465.96, 700.03 and 439.69 is: 660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 700.03 = 439.69 : x
  2. Step 2: Convert to fraction form
    465.96/700.03 = 439.69/x
  3. Step 3: Cross multiply
    465.96x = 700.03 × 439.69
  4. Step 4: Simplify right side
    465.96x = 307,795.09
  5. Step 5: Solve for x
    x = 307,795.09/465.96
  6. Step 6: Final answer
    x = 660.56

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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.