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Finding the Fourth Proportional to 1,194.76, 1,649.33 and 976.06

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Solution

The fourth proportional to 1,194.76, 1,649.33 and 976.06 is: 1,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.76 : 1,649.33 = 976.06 : x
  2. Step 2: Convert to fraction form
    1,194.76/1,649.33 = 976.06/x
  3. Step 3: Cross multiply
    1,194.76x = 1,649.33 × 976.06
  4. Step 4: Simplify right side
    1,194.76x = 1,609,845.04
  5. Step 5: Solve for x
    x = 1,609,845.04/1,194.76
  6. Step 6: Final answer
    x = 1,347.42

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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.