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Finding the Fourth Proportional to 1,422.12, 2,133.56 and 448.24

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Solution

The fourth proportional to 1,422.12, 2,133.56 and 448.24 is: 672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.12 : 2,133.56 = 448.24 : x
  2. Step 2: Convert to fraction form
    1,422.12/2,133.56 = 448.24/x
  3. Step 3: Cross multiply
    1,422.12x = 2,133.56 × 448.24
  4. Step 4: Simplify right side
    1,422.12x = 956,346.93
  5. Step 5: Solve for x
    x = 956,346.93/1,422.12
  6. Step 6: Final answer
    x = 672.48

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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.