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Finding the Fourth Proportional to 450.82, 620.58 and 340.12

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Solution

The fourth proportional to 450.82, 620.58 and 340.12 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.82 : 620.58 = 340.12 : x
  2. Step 2: Convert to fraction form
    450.82/620.58 = 340.12/x
  3. Step 3: Cross multiply
    450.82x = 620.58 × 340.12
  4. Step 4: Simplify right side
    450.82x = 211,071.67
  5. Step 5: Solve for x
    x = 211,071.67/450.82
  6. Step 6: Final answer
    x = 468.19

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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.