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Finding the Fourth Proportional to 1,173.69, 1,619.36 and 669.55

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Solution

The fourth proportional to 1,173.69, 1,619.36 and 669.55 is: 923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.69 : 1,619.36 = 669.55 : x
  2. Step 2: Convert to fraction form
    1,173.69/1,619.36 = 669.55/x
  3. Step 3: Cross multiply
    1,173.69x = 1,619.36 × 669.55
  4. Step 4: Simplify right side
    1,173.69x = 1,084,235.09
  5. Step 5: Solve for x
    x = 1,084,235.09/1,173.69
  6. Step 6: Final answer
    x = 923.78

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Half scale
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Double 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.