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Finding the Fourth Proportional to 443.38, 660.84 and 430.14

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Solution

The fourth proportional to 443.38, 660.84 and 430.14 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.38 : 660.84 = 430.14 : x
  2. Step 2: Convert to fraction form
    443.38/660.84 = 430.14/x
  3. Step 3: Cross multiply
    443.38x = 660.84 × 430.14
  4. Step 4: Simplify right side
    443.38x = 284,253.72
  5. Step 5: Solve for x
    x = 284,253.72/443.38
  6. Step 6: Final answer
    x = 641.11

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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.