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Finding the Fourth Proportional to 419.85, 626.67 and 371.25

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Solution

The fourth proportional to 419.85, 626.67 and 371.25 is: 554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.85 : 626.67 = 371.25 : x
  2. Step 2: Convert to fraction form
    419.85/626.67 = 371.25/x
  3. Step 3: Cross multiply
    419.85x = 626.67 × 371.25
  4. Step 4: Simplify right side
    419.85x = 232,651.24
  5. Step 5: Solve for x
    x = 232,651.24/419.85
  6. Step 6: Final answer
    x = 554.13

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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.