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Finding the Fourth Proportional to 1,221.41, 1,824.70 and 779.15

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Solution

The fourth proportional to 1,221.41, 1,824.70 and 779.15 is: 1,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.41 : 1,824.70 = 779.15 : x
  2. Step 2: Convert to fraction form
    1,221.41/1,824.70 = 779.15/x
  3. Step 3: Cross multiply
    1,221.41x = 1,824.70 × 779.15
  4. Step 4: Simplify right side
    1,221.41x = 1,421,703.93
  5. Step 5: Solve for x
    x = 1,421,703.93/1,221.41
  6. Step 6: Final answer
    x = 1,163.98

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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.