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Finding the Fourth Proportional to 916.82, 1,375.40 and 300.46

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Solution

The fourth proportional to 916.82, 1,375.40 and 300.46 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.82 : 1,375.40 = 300.46 : x
  2. Step 2: Convert to fraction form
    916.82/1,375.40 = 300.46/x
  3. Step 3: Cross multiply
    916.82x = 1,375.40 × 300.46
  4. Step 4: Simplify right side
    916.82x = 413,252.68
  5. Step 5: Solve for x
    x = 413,252.68/916.82
  6. Step 6: Final answer
    x = 450.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.