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Finding the Fourth Proportional to 1,622.64, 2,239.44 and 960.06

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Solution

The fourth proportional to 1,622.64, 2,239.44 and 960.06 is: 1,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.64 : 2,239.44 = 960.06 : x
  2. Step 2: Convert to fraction form
    1,622.64/2,239.44 = 960.06/x
  3. Step 3: Cross multiply
    1,622.64x = 2,239.44 × 960.06
  4. Step 4: Simplify right side
    1,622.64x = 2,149,996.77
  5. Step 5: Solve for x
    x = 2,149,996.77/1,622.64
  6. Step 6: Final answer
    x = 1,325.00

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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.