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Finding the Fourth Proportional to 1,244.57, 1,866.65 and 513.95

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Solution

The fourth proportional to 1,244.57, 1,866.65 and 513.95 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.57 : 1,866.65 = 513.95 : x
  2. Step 2: Convert to fraction form
    1,244.57/1,866.65 = 513.95/x
  3. Step 3: Cross multiply
    1,244.57x = 1,866.65 × 513.95
  4. Step 4: Simplify right side
    1,244.57x = 959,352.86
  5. Step 5: Solve for x
    x = 959,352.86/1,244.57
  6. Step 6: Final answer
    x = 770.83

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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.