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Finding the Fourth Proportional to 620.12, 930.22 and 346

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Solution

The fourth proportional to 620.12, 930.22 and 346 is: 519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.12 : 930.22 = 346 : x
  2. Step 2: Convert to fraction form
    620.12/930.22 = 346/x
  3. Step 3: Cross multiply
    620.12x = 930.22 × 346
  4. Step 4: Simplify right side
    620.12x = 321,856.12
  5. Step 5: Solve for x
    x = 321,856.12/620.12
  6. Step 6: Final answer
    x = 519.02

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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.