Home / 1,215.41-1,823.11-382.53

Finding the Fourth Proportional to 1,215.41, 1,823.11 and 382.53

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Solution

The fourth proportional to 1,215.41, 1,823.11 and 382.53 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.41 : 1,823.11 = 382.53 : x
  2. Step 2: Convert to fraction form
    1,215.41/1,823.11 = 382.53/x
  3. Step 3: Cross multiply
    1,215.41x = 1,823.11 × 382.53
  4. Step 4: Simplify right side
    1,215.41x = 697,400.15
  5. Step 5: Solve for x
    x = 697,400.15/1,215.41
  6. Step 6: Final answer
    x = 573.80

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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.