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Finding the Fourth Proportional to 414.93, 621.45 and 345.99

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Solution

The fourth proportional to 414.93, 621.45 and 345.99 is: 518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.93 : 621.45 = 345.99 : x
  2. Step 2: Convert to fraction form
    414.93/621.45 = 345.99/x
  3. Step 3: Cross multiply
    414.93x = 621.45 × 345.99
  4. Step 4: Simplify right side
    414.93x = 215,015.49
  5. Step 5: Solve for x
    x = 215,015.49/414.93
  6. Step 6: Final answer
    x = 518.20

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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.