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Finding the Fourth Proportional to 490, 677.04 and 385

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Solution

The fourth proportional to 490, 677.04 and 385 is: 531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 677.04 = 385 : x
  2. Step 2: Convert to fraction form
    490/677.04 = 385/x
  3. Step 3: Cross multiply
    490x = 677.04 × 385
  4. Step 4: Simplify right side
    490x = 260,660.40
  5. Step 5: Solve for x
    x = 260,660.40/490
  6. Step 6: Final answer
    x = 531.96

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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.