Home / 1,476.09-2,214.18-380.45

Finding the Fourth Proportional to 1,476.09, 2,214.18 and 380.45

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Solution

The fourth proportional to 1,476.09, 2,214.18 and 380.45 is: 570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.09 : 2,214.18 = 380.45 : x
  2. Step 2: Convert to fraction form
    1,476.09/2,214.18 = 380.45/x
  3. Step 3: Cross multiply
    1,476.09x = 2,214.18 × 380.45
  4. Step 4: Simplify right side
    1,476.09x = 842,390.32
  5. Step 5: Solve for x
    x = 842,390.32/1,476.09
  6. Step 6: Final answer
    x = 570.69

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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.