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Finding the Fourth Proportional to 534.33, 800.64 and 371.70

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Solution

The fourth proportional to 534.33, 800.64 and 371.70 is: 556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 800.64 = 371.70 : x
  2. Step 2: Convert to fraction form
    534.33/800.64 = 371.70/x
  3. Step 3: Cross multiply
    534.33x = 800.64 × 371.70
  4. Step 4: Simplify right side
    534.33x = 297,597.89
  5. Step 5: Solve for x
    x = 297,597.89/534.33
  6. Step 6: Final answer
    x = 556.96

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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.