Home / 1,422.36-2,132.82-497.97

Finding the Fourth Proportional to 1,422.36, 2,132.82 and 497.97

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Solution

The fourth proportional to 1,422.36, 2,132.82 and 497.97 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.36 : 2,132.82 = 497.97 : x
  2. Step 2: Convert to fraction form
    1,422.36/2,132.82 = 497.97/x
  3. Step 3: Cross multiply
    1,422.36x = 2,132.82 × 497.97
  4. Step 4: Simplify right side
    1,422.36x = 1,062,080.38
  5. Step 5: Solve for x
    x = 1,062,080.38/1,422.36
  6. Step 6: Final answer
    x = 746.70

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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.