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Finding the Fourth Proportional to 1,086.64, 1,622.09 and 955.27

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Solution

The fourth proportional to 1,086.64, 1,622.09 and 955.27 is: 1,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.64 : 1,622.09 = 955.27 : x
  2. Step 2: Convert to fraction form
    1,086.64/1,622.09 = 955.27/x
  3. Step 3: Cross multiply
    1,086.64x = 1,622.09 × 955.27
  4. Step 4: Simplify right side
    1,086.64x = 1,549,529.14
  5. Step 5: Solve for x
    x = 1,549,529.14/1,086.64
  6. Step 6: Final answer
    x = 1,425.99

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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.