Home / 1,421.67-2,131.28-497.09

Finding the Fourth Proportional to 1,421.67, 2,131.28 and 497.09

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Solution

The fourth proportional to 1,421.67, 2,131.28 and 497.09 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.67 : 2,131.28 = 497.09 : x
  2. Step 2: Convert to fraction form
    1,421.67/2,131.28 = 497.09/x
  3. Step 3: Cross multiply
    1,421.67x = 2,131.28 × 497.09
  4. Step 4: Simplify right side
    1,421.67x = 1,059,437.98
  5. Step 5: Solve for x
    x = 1,059,437.98/1,421.67
  6. Step 6: Final answer
    x = 745.21

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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.