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Finding the Fourth Proportional to 484.96, 723.37 and 445.15

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Solution

The fourth proportional to 484.96, 723.37 and 445.15 is: 663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 723.37 = 445.15 : x
  2. Step 2: Convert to fraction form
    484.96/723.37 = 445.15/x
  3. Step 3: Cross multiply
    484.96x = 723.37 × 445.15
  4. Step 4: Simplify right side
    484.96x = 322,008.16
  5. Step 5: Solve for x
    x = 322,008.16/484.96
  6. Step 6: Final answer
    x = 663.99

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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.