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Finding the Fourth Proportional to 483.23, 723.82 and 380.02

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Solution

The fourth proportional to 483.23, 723.82 and 380.02 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.23 : 723.82 = 380.02 : x
  2. Step 2: Convert to fraction form
    483.23/723.82 = 380.02/x
  3. Step 3: Cross multiply
    483.23x = 723.82 × 380.02
  4. Step 4: Simplify right side
    483.23x = 275,066.08
  5. Step 5: Solve for x
    x = 275,066.08/483.23
  6. Step 6: Final answer
    x = 569.22

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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.