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Finding the Fourth Proportional to 443.13, 663.14 and 385.98

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Solution

The fourth proportional to 443.13, 663.14 and 385.98 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.13 : 663.14 = 385.98 : x
  2. Step 2: Convert to fraction form
    443.13/663.14 = 385.98/x
  3. Step 3: Cross multiply
    443.13x = 663.14 × 385.98
  4. Step 4: Simplify right side
    443.13x = 255,956.85
  5. Step 5: Solve for x
    x = 255,956.85/443.13
  6. Step 6: Final answer
    x = 577.61

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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.