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Finding the Fourth Proportional to 478.29, 713.92 and 443.56

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Solution

The fourth proportional to 478.29, 713.92 and 443.56 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.29 : 713.92 = 443.56 : x
  2. Step 2: Convert to fraction form
    478.29/713.92 = 443.56/x
  3. Step 3: Cross multiply
    478.29x = 713.92 × 443.56
  4. Step 4: Simplify right side
    478.29x = 316,666.36
  5. Step 5: Solve for x
    x = 316,666.36/478.29
  6. Step 6: Final answer
    x = 662.08

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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.