Home / 1,422.19-2,134.25-497.76

Finding the Fourth Proportional to 1,422.19, 2,134.25 and 497.76

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Solution

The fourth proportional to 1,422.19, 2,134.25 and 497.76 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.19 : 2,134.25 = 497.76 : x
  2. Step 2: Convert to fraction form
    1,422.19/2,134.25 = 497.76/x
  3. Step 3: Cross multiply
    1,422.19x = 2,134.25 × 497.76
  4. Step 4: Simplify right side
    1,422.19x = 1,062,337.66
  5. Step 5: Solve for x
    x = 1,062,337.66/1,422.19
  6. Step 6: Final answer
    x = 746.97

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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.