Home / 1,214.26-1,822.12-483.72

Finding the Fourth Proportional to 1,214.26, 1,822.12 and 483.72

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Solution

The fourth proportional to 1,214.26, 1,822.12 and 483.72 is: 725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.26 : 1,822.12 = 483.72 : x
  2. Step 2: Convert to fraction form
    1,214.26/1,822.12 = 483.72/x
  3. Step 3: Cross multiply
    1,214.26x = 1,822.12 × 483.72
  4. Step 4: Simplify right side
    1,214.26x = 881,395.89
  5. Step 5: Solve for x
    x = 881,395.89/1,214.26
  6. Step 6: Final answer
    x = 725.87

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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.