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Finding the Fourth Proportional to 478.40, 713.82 and 443.98

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Solution

The fourth proportional to 478.40, 713.82 and 443.98 is: 662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 713.82 = 443.98 : x
  2. Step 2: Convert to fraction form
    478.40/713.82 = 443.98/x
  3. Step 3: Cross multiply
    478.40x = 713.82 × 443.98
  4. Step 4: Simplify right side
    478.40x = 316,916.01
  5. Step 5: Solve for x
    x = 316,916.01/478.40
  6. Step 6: Final answer
    x = 662.45

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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.