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Finding the Fourth Proportional to 916.77, 1,374.27 and 300.05

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Solution

The fourth proportional to 916.77, 1,374.27 and 300.05 is: 449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.77 : 1,374.27 = 300.05 : x
  2. Step 2: Convert to fraction form
    916.77/1,374.27 = 300.05/x
  3. Step 3: Cross multiply
    916.77x = 1,374.27 × 300.05
  4. Step 4: Simplify right side
    916.77x = 412,342.84
  5. Step 5: Solve for x
    x = 412,342.84/916.77
  6. Step 6: Final answer
    x = 449.78

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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.