Home / 1,484.19-2,226.24-497.25

Finding the Fourth Proportional to 1,484.19, 2,226.24 and 497.25

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Solution

The fourth proportional to 1,484.19, 2,226.24 and 497.25 is: 745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.19 : 2,226.24 = 497.25 : x
  2. Step 2: Convert to fraction form
    1,484.19/2,226.24 = 497.25/x
  3. Step 3: Cross multiply
    1,484.19x = 2,226.24 × 497.25
  4. Step 4: Simplify right side
    1,484.19x = 1,106,997.84
  5. Step 5: Solve for x
    x = 1,106,997.84/1,484.19
  6. Step 6: Final answer
    x = 745.86

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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.