Home / 1,215.76-1,823.64-446.26

Finding the Fourth Proportional to 1,215.76, 1,823.64 and 446.26

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Solution

The fourth proportional to 1,215.76, 1,823.64 and 446.26 is: 669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.76 : 1,823.64 = 446.26 : x
  2. Step 2: Convert to fraction form
    1,215.76/1,823.64 = 446.26/x
  3. Step 3: Cross multiply
    1,215.76x = 1,823.64 × 446.26
  4. Step 4: Simplify right side
    1,215.76x = 813,817.59
  5. Step 5: Solve for x
    x = 813,817.59/1,215.76
  6. Step 6: Final answer
    x = 669.39

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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.