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Finding the Fourth Proportional to 1,209.09, 1,804.95 and 1,155.90

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Solution

The fourth proportional to 1,209.09, 1,804.95 and 1,155.90 is: 1,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.09 : 1,804.95 = 1,155.90 : x
  2. Step 2: Convert to fraction form
    1,209.09/1,804.95 = 1,155.90/x
  3. Step 3: Cross multiply
    1,209.09x = 1,804.95 × 1,155.90
  4. Step 4: Simplify right side
    1,209.09x = 2,086,341.71
  5. Step 5: Solve for x
    x = 2,086,341.71/1,209.09
  6. Step 6: Final answer
    x = 1,725.55

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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.