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Finding the Fourth Proportional to 490.64, 734.66 and 384.04

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Solution

The fourth proportional to 490.64, 734.66 and 384.04 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.64 : 734.66 = 384.04 : x
  2. Step 2: Convert to fraction form
    490.64/734.66 = 384.04/x
  3. Step 3: Cross multiply
    490.64x = 734.66 × 384.04
  4. Step 4: Simplify right side
    490.64x = 282,140.70
  5. Step 5: Solve for x
    x = 282,140.70/490.64
  6. Step 6: Final answer
    x = 575.04

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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.