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Finding the Fourth Proportional to 534.33, 737.60 and 359.78

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Solution

The fourth proportional to 534.33, 737.60 and 359.78 is: 496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.33 : 737.60 = 359.78 : x
  2. Step 2: Convert to fraction form
    534.33/737.60 = 359.78/x
  3. Step 3: Cross multiply
    534.33x = 737.60 × 359.78
  4. Step 4: Simplify right side
    534.33x = 265,370.94
  5. Step 5: Solve for x
    x = 265,370.94/534.33
  6. Step 6: Final answer
    x = 496.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.