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Finding the Fourth Proportional to 552.10, 828.05 and 346.30

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Solution

The fourth proportional to 552.10, 828.05 and 346.30 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 828.05 = 346.30 : x
  2. Step 2: Convert to fraction form
    552.10/828.05 = 346.30/x
  3. Step 3: Cross multiply
    552.10x = 828.05 × 346.30
  4. Step 4: Simplify right side
    552.10x = 286,753.72
  5. Step 5: Solve for x
    x = 286,753.72/552.10
  6. Step 6: Final answer
    x = 519.39

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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.