Home / 1,219.64-1,828.34-439.45

Finding the Fourth Proportional to 1,219.64, 1,828.34 and 439.45

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Solution

The fourth proportional to 1,219.64, 1,828.34 and 439.45 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.64 : 1,828.34 = 439.45 : x
  2. Step 2: Convert to fraction form
    1,219.64/1,828.34 = 439.45/x
  3. Step 3: Cross multiply
    1,219.64x = 1,828.34 × 439.45
  4. Step 4: Simplify right side
    1,219.64x = 803,460.54
  5. Step 5: Solve for x
    x = 803,460.54/1,219.64
  6. Step 6: Final answer
    x = 658.77

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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.