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Finding the Fourth Proportional to 1,194.20, 1,648.32 and 840.20

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Solution

The fourth proportional to 1,194.20, 1,648.32 and 840.20 is: 1,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.20 : 1,648.32 = 840.20 : x
  2. Step 2: Convert to fraction form
    1,194.20/1,648.32 = 840.20/x
  3. Step 3: Cross multiply
    1,194.20x = 1,648.32 × 840.20
  4. Step 4: Simplify right side
    1,194.20x = 1,384,910.22
  5. Step 5: Solve for x
    x = 1,384,910.22/1,194.20
  6. Step 6: Final answer
    x = 1,159.70

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Half scale
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Double scale
Find fourth proportional to 1,195.20, 1,649.70 and 841.20
Similar ratio
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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.