Home / 1,204.74-1,649.28-1,196.64

Finding the Fourth Proportional to 1,204.74, 1,649.28 and 1,196.64

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Solution

The fourth proportional to 1,204.74, 1,649.28 and 1,196.64 is: 1,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.74 : 1,649.28 = 1,196.64 : x
  2. Step 2: Convert to fraction form
    1,204.74/1,649.28 = 1,196.64/x
  3. Step 3: Cross multiply
    1,204.74x = 1,649.28 × 1,196.64
  4. Step 4: Simplify right side
    1,204.74x = 1,973,594.42
  5. Step 5: Solve for x
    x = 1,973,594.42/1,204.74
  6. Step 6: Final answer
    x = 1,638.19

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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 (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.