Home / 1,421.26-2,132.39-497.07

Finding the Fourth Proportional to 1,421.26, 2,132.39 and 497.07

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Solution

The fourth proportional to 1,421.26, 2,132.39 and 497.07 is: 745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.26 : 2,132.39 = 497.07 : x
  2. Step 2: Convert to fraction form
    1,421.26/2,132.39 = 497.07/x
  3. Step 3: Cross multiply
    1,421.26x = 2,132.39 × 497.07
  4. Step 4: Simplify right side
    1,421.26x = 1,059,939.28
  5. Step 5: Solve for x
    x = 1,059,939.28/1,421.26
  6. Step 6: Final answer
    x = 745.78

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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.