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Finding the Fourth Proportional to 440.69, 661.05 and 319.19

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Solution

The fourth proportional to 440.69, 661.05 and 319.19 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.69 : 661.05 = 319.19 : x
  2. Step 2: Convert to fraction form
    440.69/661.05 = 319.19/x
  3. Step 3: Cross multiply
    440.69x = 661.05 × 319.19
  4. Step 4: Simplify right side
    440.69x = 210,997.24
  5. Step 5: Solve for x
    x = 210,997.24/440.69
  6. Step 6: Final answer
    x = 478.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.