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Finding the Fourth Proportional to 477.65, 713.01 and 443.89

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Solution

The fourth proportional to 477.65, 713.01 and 443.89 is: 662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 713.01 = 443.89 : x
  2. Step 2: Convert to fraction form
    477.65/713.01 = 443.89/x
  3. Step 3: Cross multiply
    477.65x = 713.01 × 443.89
  4. Step 4: Simplify right side
    477.65x = 316,499.12
  5. Step 5: Solve for x
    x = 316,499.12/477.65
  6. Step 6: Final answer
    x = 662.62

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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.