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Finding the Fourth Proportional to 1,206.25, 1,664.80 and 764.19

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Solution

The fourth proportional to 1,206.25, 1,664.80 and 764.19 is: 1,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.25 : 1,664.80 = 764.19 : x
  2. Step 2: Convert to fraction form
    1,206.25/1,664.80 = 764.19/x
  3. Step 3: Cross multiply
    1,206.25x = 1,664.80 × 764.19
  4. Step 4: Simplify right side
    1,206.25x = 1,272,221.60
  5. Step 5: Solve for x
    x = 1,272,221.60/1,206.25
  6. Step 6: Final answer
    x = 1,054.69

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Half scale
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1.5x scale

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.