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Finding the Fourth Proportional to 538.71, 808.67 and 319.81

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Solution

The fourth proportional to 538.71, 808.67 and 319.81 is: 480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 808.67 = 319.81 : x
  2. Step 2: Convert to fraction form
    538.71/808.67 = 319.81/x
  3. Step 3: Cross multiply
    538.71x = 808.67 × 319.81
  4. Step 4: Simplify right side
    538.71x = 258,615.11
  5. Step 5: Solve for x
    x = 258,615.11/538.71
  6. Step 6: Final answer
    x = 480.07

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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.