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Finding the Fourth Proportional to 484.99, 725.67 and 380.50

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Solution

The fourth proportional to 484.99, 725.67 and 380.50 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.99 : 725.67 = 380.50 : x
  2. Step 2: Convert to fraction form
    484.99/725.67 = 380.50/x
  3. Step 3: Cross multiply
    484.99x = 725.67 × 380.50
  4. Step 4: Simplify right side
    484.99x = 276,117.44
  5. Step 5: Solve for x
    x = 276,117.44/484.99
  6. Step 6: Final answer
    x = 569.33

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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.