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Finding the Fourth Proportional to 534.26, 800.40 and 369.74

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Solution

The fourth proportional to 534.26, 800.40 and 369.74 is: 553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 800.40 = 369.74 : x
  2. Step 2: Convert to fraction form
    534.26/800.40 = 369.74/x
  3. Step 3: Cross multiply
    534.26x = 800.40 × 369.74
  4. Step 4: Simplify right side
    534.26x = 295,939.90
  5. Step 5: Solve for x
    x = 295,939.90/534.26
  6. Step 6: Final answer
    x = 553.92

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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.