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Finding the Fourth Proportional to 490.36, 734.52 and 393.02

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Solution

The fourth proportional to 490.36, 734.52 and 393.02 is: 588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.36 : 734.52 = 393.02 : x
  2. Step 2: Convert to fraction form
    490.36/734.52 = 393.02/x
  3. Step 3: Cross multiply
    490.36x = 734.52 × 393.02
  4. Step 4: Simplify right side
    490.36x = 288,681.05
  5. Step 5: Solve for x
    x = 288,681.05/490.36
  6. Step 6: Final answer
    x = 588.72

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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.