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Finding the Fourth Proportional to 553.62, 828.94 and 293.08

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Solution

The fourth proportional to 553.62, 828.94 and 293.08 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 828.94 = 293.08 : x
  2. Step 2: Convert to fraction form
    553.62/828.94 = 293.08/x
  3. Step 3: Cross multiply
    553.62x = 828.94 × 293.08
  4. Step 4: Simplify right side
    553.62x = 242,945.74
  5. Step 5: Solve for x
    x = 242,945.74/553.62
  6. Step 6: Final answer
    x = 438.83

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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.