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Finding the Fourth Proportional to 534.40, 800.74 and 412.96

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Solution

The fourth proportional to 534.40, 800.74 and 412.96 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.40 : 800.74 = 412.96 : x
  2. Step 2: Convert to fraction form
    534.40/800.74 = 412.96/x
  3. Step 3: Cross multiply
    534.40x = 800.74 × 412.96
  4. Step 4: Simplify right side
    534.40x = 330,673.59
  5. Step 5: Solve for x
    x = 330,673.59/534.40
  6. Step 6: Final answer
    x = 618.78

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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.