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Finding the Fourth Proportional to 1,209.02, 1,804.75 and 1,118.84

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Solution

The fourth proportional to 1,209.02, 1,804.75 and 1,118.84 is: 1,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.02 : 1,804.75 = 1,118.84 : x
  2. Step 2: Convert to fraction form
    1,209.02/1,804.75 = 1,118.84/x
  3. Step 3: Cross multiply
    1,209.02x = 1,804.75 × 1,118.84
  4. Step 4: Simplify right side
    1,209.02x = 2,019,220.90
  5. Step 5: Solve for x
    x = 2,019,220.90/1,209.02
  6. Step 6: Final answer
    x = 1,670.13

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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.