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Finding the Fourth Proportional to 1,622.72, 2,238.80 and 959.84

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Solution

The fourth proportional to 1,622.72, 2,238.80 and 959.84 is: 1,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.72 : 2,238.80 = 959.84 : x
  2. Step 2: Convert to fraction form
    1,622.72/2,238.80 = 959.84/x
  3. Step 3: Cross multiply
    1,622.72x = 2,238.80 × 959.84
  4. Step 4: Simplify right side
    1,622.72x = 2,148,889.79
  5. Step 5: Solve for x
    x = 2,148,889.79/1,622.72
  6. Step 6: Final answer
    x = 1,324.25

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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.