Home / 1,421.80-2,131.92-497.29

Finding the Fourth Proportional to 1,421.80, 2,131.92 and 497.29

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Solution

The fourth proportional to 1,421.80, 2,131.92 and 497.29 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.80 : 2,131.92 = 497.29 : x
  2. Step 2: Convert to fraction form
    1,421.80/2,131.92 = 497.29/x
  3. Step 3: Cross multiply
    1,421.80x = 2,131.92 × 497.29
  4. Step 4: Simplify right side
    1,421.80x = 1,060,182.50
  5. Step 5: Solve for x
    x = 1,060,182.50/1,421.80
  6. Step 6: Final answer
    x = 745.66

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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.