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Finding the Fourth Proportional to 1,206.09, 1,809.54 and 767.88

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Solution

The fourth proportional to 1,206.09, 1,809.54 and 767.88 is: 1,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.09 : 1,809.54 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,206.09/1,809.54 = 767.88/x
  3. Step 3: Cross multiply
    1,206.09x = 1,809.54 × 767.88
  4. Step 4: Simplify right side
    1,206.09x = 1,389,509.58
  5. Step 5: Solve for x
    x = 1,389,509.58/1,206.09
  6. Step 6: Final answer
    x = 1,152.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.