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Finding the Fourth Proportional to 483.85, 725.82 and 288.64

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Solution

The fourth proportional to 483.85, 725.82 and 288.64 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.85 : 725.82 = 288.64 : x
  2. Step 2: Convert to fraction form
    483.85/725.82 = 288.64/x
  3. Step 3: Cross multiply
    483.85x = 725.82 × 288.64
  4. Step 4: Simplify right side
    483.85x = 209,500.68
  5. Step 5: Solve for x
    x = 209,500.68/483.85
  6. Step 6: Final answer
    x = 432.99

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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.