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Finding the Fourth Proportional to 538.81, 806.80 and 434.14

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Solution

The fourth proportional to 538.81, 806.80 and 434.14 is: 650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.81 : 806.80 = 434.14 : x
  2. Step 2: Convert to fraction form
    538.81/806.80 = 434.14/x
  3. Step 3: Cross multiply
    538.81x = 806.80 × 434.14
  4. Step 4: Simplify right side
    538.81x = 350,264.15
  5. Step 5: Solve for x
    x = 350,264.15/538.81
  6. Step 6: Final answer
    x = 650.07

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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.