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Finding the Fourth Proportional to 484.11, 722.93 and 380.23

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Solution

The fourth proportional to 484.11, 722.93 and 380.23 is: 567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.11 : 722.93 = 380.23 : x
  2. Step 2: Convert to fraction form
    484.11/722.93 = 380.23/x
  3. Step 3: Cross multiply
    484.11x = 722.93 × 380.23
  4. Step 4: Simplify right side
    484.11x = 274,879.67
  5. Step 5: Solve for x
    x = 274,879.67/484.11
  6. Step 6: Final answer
    x = 567.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.