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Finding the Fourth Proportional to 1,245.03, 1,866.16 and 514.41

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Solution

The fourth proportional to 1,245.03, 1,866.16 and 514.41 is: 771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.03 : 1,866.16 = 514.41 : x
  2. Step 2: Convert to fraction form
    1,245.03/1,866.16 = 514.41/x
  3. Step 3: Cross multiply
    1,245.03x = 1,866.16 × 514.41
  4. Step 4: Simplify right side
    1,245.03x = 959,971.37
  5. Step 5: Solve for x
    x = 959,971.37/1,245.03
  6. Step 6: Final answer
    x = 771.04

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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.