Home / 1,476.42-2,214.60-380.76

Finding the Fourth Proportional to 1,476.42, 2,214.60 and 380.76

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Solution

The fourth proportional to 1,476.42, 2,214.60 and 380.76 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.42 : 2,214.60 = 380.76 : x
  2. Step 2: Convert to fraction form
    1,476.42/2,214.60 = 380.76/x
  3. Step 3: Cross multiply
    1,476.42x = 2,214.60 × 380.76
  4. Step 4: Simplify right side
    1,476.42x = 843,231.10
  5. Step 5: Solve for x
    x = 843,231.10/1,476.42
  6. Step 6: Final answer
    x = 571.13

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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.