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Finding the Fourth Proportional to 1,194.90, 1,649.11 and 697.69

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Solution

The fourth proportional to 1,194.90, 1,649.11 and 697.69 is: 962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.90 : 1,649.11 = 697.69 : x
  2. Step 2: Convert to fraction form
    1,194.90/1,649.11 = 697.69/x
  3. Step 3: Cross multiply
    1,194.90x = 1,649.11 × 697.69
  4. Step 4: Simplify right side
    1,194.90x = 1,150,567.56
  5. Step 5: Solve for x
    x = 1,150,567.56/1,194.90
  6. Step 6: Final answer
    x = 962.90

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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.