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Finding the Fourth Proportional to 608.56, 916.40 and 447.36

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Solution

The fourth proportional to 608.56, 916.40 and 447.36 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.56 : 916.40 = 447.36 : x
  2. Step 2: Convert to fraction form
    608.56/916.40 = 447.36/x
  3. Step 3: Cross multiply
    608.56x = 916.40 × 447.36
  4. Step 4: Simplify right side
    608.56x = 409,960.70
  5. Step 5: Solve for x
    x = 409,960.70/608.56
  6. Step 6: Final answer
    x = 673.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.