Home / 1,476.33-2,214.49-380.70

Finding the Fourth Proportional to 1,476.33, 2,214.49 and 380.70

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Solution

The fourth proportional to 1,476.33, 2,214.49 and 380.70 is: 571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.33 : 2,214.49 = 380.70 : x
  2. Step 2: Convert to fraction form
    1,476.33/2,214.49 = 380.70/x
  3. Step 3: Cross multiply
    1,476.33x = 2,214.49 × 380.70
  4. Step 4: Simplify right side
    1,476.33x = 843,056.11
  5. Step 5: Solve for x
    x = 843,056.11/1,476.33
  6. Step 6: Final answer
    x = 571.05

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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.