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Finding the Fourth Proportional to 550.69, 760.05 and 317.81

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Solution

The fourth proportional to 550.69, 760.05 and 317.81 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 760.05 = 317.81 : x
  2. Step 2: Convert to fraction form
    550.69/760.05 = 317.81/x
  3. Step 3: Cross multiply
    550.69x = 760.05 × 317.81
  4. Step 4: Simplify right side
    550.69x = 241,553.39
  5. Step 5: Solve for x
    x = 241,553.39/550.69
  6. Step 6: Final answer
    x = 438.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.