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Finding the Fourth Proportional to 1,422, 2,133.27 and 652.50

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Solution

The fourth proportional to 1,422, 2,133.27 and 652.50 is: 978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422 : 2,133.27 = 652.50 : x
  2. Step 2: Convert to fraction form
    1,422/2,133.27 = 652.50/x
  3. Step 3: Cross multiply
    1,422x = 2,133.27 × 652.50
  4. Step 4: Simplify right side
    1,422x = 1,391,958.68
  5. Step 5: Solve for x
    x = 1,391,958.68/1,422
  6. Step 6: Final answer
    x = 978.87

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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.