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Finding the Fourth Proportional to 553.22, 828.07 and 348.02

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Solution

The fourth proportional to 553.22, 828.07 and 348.02 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.22 : 828.07 = 348.02 : x
  2. Step 2: Convert to fraction form
    553.22/828.07 = 348.02/x
  3. Step 3: Cross multiply
    553.22x = 828.07 × 348.02
  4. Step 4: Simplify right side
    553.22x = 288,184.92
  5. Step 5: Solve for x
    x = 288,184.92/553.22
  6. Step 6: Final answer
    x = 520.92

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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.