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Finding the Fourth Proportional to 1,422.29, 2,133.62 and 556.49

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Solution

The fourth proportional to 1,422.29, 2,133.62 and 556.49 is: 834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.29 : 2,133.62 = 556.49 : x
  2. Step 2: Convert to fraction form
    1,422.29/2,133.62 = 556.49/x
  3. Step 3: Cross multiply
    1,422.29x = 2,133.62 × 556.49
  4. Step 4: Simplify right side
    1,422.29x = 1,187,335.41
  5. Step 5: Solve for x
    x = 1,187,335.41/1,422.29
  6. Step 6: Final answer
    x = 834.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.