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Finding the Fourth Proportional to 1,201.64, 1,793.77 and 955.94

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Solution

The fourth proportional to 1,201.64, 1,793.77 and 955.94 is: 1,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.64 : 1,793.77 = 955.94 : x
  2. Step 2: Convert to fraction form
    1,201.64/1,793.77 = 955.94/x
  3. Step 3: Cross multiply
    1,201.64x = 1,793.77 × 955.94
  4. Step 4: Simplify right side
    1,201.64x = 1,714,736.49
  5. Step 5: Solve for x
    x = 1,714,736.49/1,201.64
  6. Step 6: Final answer
    x = 1,427.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.