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Finding the Fourth Proportional to 419.99, 626.64 and 416.75

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Solution

The fourth proportional to 419.99, 626.64 and 416.75 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 626.64 = 416.75 : x
  2. Step 2: Convert to fraction form
    419.99/626.64 = 416.75/x
  3. Step 3: Cross multiply
    419.99x = 626.64 × 416.75
  4. Step 4: Simplify right side
    419.99x = 261,147.52
  5. Step 5: Solve for x
    x = 261,147.52/419.99
  6. Step 6: Final answer
    x = 621.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.