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Finding the Fourth Proportional to 917.92, 1,376.63 and 362.54

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Solution

The fourth proportional to 917.92, 1,376.63 and 362.54 is: 543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.92 : 1,376.63 = 362.54 : x
  2. Step 2: Convert to fraction form
    917.92/1,376.63 = 362.54/x
  3. Step 3: Cross multiply
    917.92x = 1,376.63 × 362.54
  4. Step 4: Simplify right side
    917.92x = 499,083.44
  5. Step 5: Solve for x
    x = 499,083.44/917.92
  6. Step 6: Final answer
    x = 543.71

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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.