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Finding the Fourth Proportional to 613.20, 919.80 and 288.94

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Solution

The fourth proportional to 613.20, 919.80 and 288.94 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 919.80 = 288.94 : x
  2. Step 2: Convert to fraction form
    613.20/919.80 = 288.94/x
  3. Step 3: Cross multiply
    613.20x = 919.80 × 288.94
  4. Step 4: Simplify right side
    613.20x = 265,767.01
  5. Step 5: Solve for x
    x = 265,767.01/613.20
  6. Step 6: Final answer
    x = 433.41

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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.