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Finding the Fourth Proportional to 1,220.44, 1,684.92 and 778.72

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Solution

The fourth proportional to 1,220.44, 1,684.92 and 778.72 is: 1,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.44 : 1,684.92 = 778.72 : x
  2. Step 2: Convert to fraction form
    1,220.44/1,684.92 = 778.72/x
  3. Step 3: Cross multiply
    1,220.44x = 1,684.92 × 778.72
  4. Step 4: Simplify right side
    1,220.44x = 1,312,080.90
  5. Step 5: Solve for x
    x = 1,312,080.90/1,220.44
  6. Step 6: Final answer
    x = 1,075.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.