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Finding the Fourth Proportional to 550.71, 760.05 and 317.84

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Solution

The fourth proportional to 550.71, 760.05 and 317.84 is: 438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.71 : 760.05 = 317.84 : x
  2. Step 2: Convert to fraction form
    550.71/760.05 = 317.84/x
  3. Step 3: Cross multiply
    550.71x = 760.05 × 317.84
  4. Step 4: Simplify right side
    550.71x = 241,570.49
  5. Step 5: Solve for x
    x = 241,570.49/550.71
  6. Step 6: Final answer
    x = 438.65

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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.