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Finding the Fourth Proportional to 1,221.04, 1,685.51 and 779.32

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Solution

The fourth proportional to 1,221.04, 1,685.51 and 779.32 is: 1,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.04 : 1,685.51 = 779.32 : x
  2. Step 2: Convert to fraction form
    1,221.04/1,685.51 = 779.32/x
  3. Step 3: Cross multiply
    1,221.04x = 1,685.51 × 779.32
  4. Step 4: Simplify right side
    1,221.04x = 1,313,551.65
  5. Step 5: Solve for x
    x = 1,313,551.65/1,221.04
  6. Step 6: Final answer
    x = 1,075.76

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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.