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Finding the Fourth Proportional to 1,456.85, 2,185.59 and 416.85

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Solution

The fourth proportional to 1,456.85, 2,185.59 and 416.85 is: 625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.85 : 2,185.59 = 416.85 : x
  2. Step 2: Convert to fraction form
    1,456.85/2,185.59 = 416.85/x
  3. Step 3: Cross multiply
    1,456.85x = 2,185.59 × 416.85
  4. Step 4: Simplify right side
    1,456.85x = 911,063.19
  5. Step 5: Solve for x
    x = 911,063.19/1,456.85
  6. Step 6: Final answer
    x = 625.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.