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Finding the Fourth Proportional to 553.50, 828.19 and 347.10

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Solution

The fourth proportional to 553.50, 828.19 and 347.10 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 828.19 = 347.10 : x
  2. Step 2: Convert to fraction form
    553.50/828.19 = 347.10/x
  3. Step 3: Cross multiply
    553.50x = 828.19 × 347.10
  4. Step 4: Simplify right side
    553.50x = 287,466.74
  5. Step 5: Solve for x
    x = 287,466.74/553.50
  6. Step 6: Final answer
    x = 519.36

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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.