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Finding the Fourth Proportional to 536.64, 739.67 and 359.54

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Solution

The fourth proportional to 536.64, 739.67 and 359.54 is: 495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 739.67 = 359.54 : x
  2. Step 2: Convert to fraction form
    536.64/739.67 = 359.54/x
  3. Step 3: Cross multiply
    536.64x = 739.67 × 359.54
  4. Step 4: Simplify right side
    536.64x = 265,935.46
  5. Step 5: Solve for x
    x = 265,935.46/536.64
  6. Step 6: Final answer
    x = 495.56

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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.