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Finding the Fourth Proportional to 551.22, 825.08 and 346.02

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Solution

The fourth proportional to 551.22, 825.08 and 346.02 is: 517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.22 : 825.08 = 346.02 : x
  2. Step 2: Convert to fraction form
    551.22/825.08 = 346.02/x
  3. Step 3: Cross multiply
    551.22x = 825.08 × 346.02
  4. Step 4: Simplify right side
    551.22x = 285,492.45
  5. Step 5: Solve for x
    x = 285,492.45/551.22
  6. Step 6: Final answer
    x = 517.93

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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.