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Finding the Fourth Proportional to 535.44, 737.64 and 411.28

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Solution

The fourth proportional to 535.44, 737.64 and 411.28 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.44 : 737.64 = 411.28 : x
  2. Step 2: Convert to fraction form
    535.44/737.64 = 411.28/x
  3. Step 3: Cross multiply
    535.44x = 737.64 × 411.28
  4. Step 4: Simplify right side
    535.44x = 303,376.58
  5. Step 5: Solve for x
    x = 303,376.58/535.44
  6. Step 6: Final answer
    x = 566.59

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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.