Home / 1,223.15-1,834.70-298.68

Finding the Fourth Proportional to 1,223.15, 1,834.70 and 298.68

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Solution

The fourth proportional to 1,223.15, 1,834.70 and 298.68 is: 448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.15 : 1,834.70 = 298.68 : x
  2. Step 2: Convert to fraction form
    1,223.15/1,834.70 = 298.68/x
  3. Step 3: Cross multiply
    1,223.15x = 1,834.70 × 298.68
  4. Step 4: Simplify right side
    1,223.15x = 547,987.45
  5. Step 5: Solve for x
    x = 547,987.45/1,223.15
  6. Step 6: Final answer
    x = 448.01

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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.