Home / 1,476.25-2,214.52-380.63

Finding the Fourth Proportional to 1,476.25, 2,214.52 and 380.63

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Solution

The fourth proportional to 1,476.25, 2,214.52 and 380.63 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.25 : 2,214.52 = 380.63 : x
  2. Step 2: Convert to fraction form
    1,476.25/2,214.52 = 380.63/x
  3. Step 3: Cross multiply
    1,476.25x = 2,214.52 × 380.63
  4. Step 4: Simplify right side
    1,476.25x = 842,917.33
  5. Step 5: Solve for x
    x = 842,917.33/1,476.25
  6. Step 6: Final answer
    x = 570.99

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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.