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Finding the Fourth Proportional to 1,215.86, 1,824.40 and 486.86

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Solution

The fourth proportional to 1,215.86, 1,824.40 and 486.86 is: 730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.86 : 1,824.40 = 486.86 : x
  2. Step 2: Convert to fraction form
    1,215.86/1,824.40 = 486.86/x
  3. Step 3: Cross multiply
    1,215.86x = 1,824.40 × 486.86
  4. Step 4: Simplify right side
    1,215.86x = 888,227.38
  5. Step 5: Solve for x
    x = 888,227.38/1,215.86
  6. Step 6: Final answer
    x = 730.53

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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.