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Finding the Fourth Proportional to 1,422.30, 2,133.99 and 642.08

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Solution

The fourth proportional to 1,422.30, 2,133.99 and 642.08 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.30 : 2,133.99 = 642.08 : x
  2. Step 2: Convert to fraction form
    1,422.30/2,133.99 = 642.08/x
  3. Step 3: Cross multiply
    1,422.30x = 2,133.99 × 642.08
  4. Step 4: Simplify right side
    1,422.30x = 1,370,181.63
  5. Step 5: Solve for x
    x = 1,370,181.63/1,422.30
  6. Step 6: Final answer
    x = 963.36

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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.