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Finding the Fourth Proportional to 553.27, 830.42 and 348.21

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Solution

The fourth proportional to 553.27, 830.42 and 348.21 is: 522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.27 : 830.42 = 348.21 : x
  2. Step 2: Convert to fraction form
    553.27/830.42 = 348.21/x
  3. Step 3: Cross multiply
    553.27x = 830.42 × 348.21
  4. Step 4: Simplify right side
    553.27x = 289,160.55
  5. Step 5: Solve for x
    x = 289,160.55/553.27
  6. Step 6: Final answer
    x = 522.64

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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.