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Finding the Fourth Proportional to 620.05, 855.68 and 340.30

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Solution

The fourth proportional to 620.05, 855.68 and 340.30 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.05 : 855.68 = 340.30 : x
  2. Step 2: Convert to fraction form
    620.05/855.68 = 340.30/x
  3. Step 3: Cross multiply
    620.05x = 855.68 × 340.30
  4. Step 4: Simplify right side
    620.05x = 291,187.90
  5. Step 5: Solve for x
    x = 291,187.90/620.05
  6. Step 6: Final answer
    x = 469.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.