Home / 1,536.19-2,304.30-381.94

Finding the Fourth Proportional to 1,536.19, 2,304.30 and 381.94

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Solution

The fourth proportional to 1,536.19, 2,304.30 and 381.94 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.19 : 2,304.30 = 381.94 : x
  2. Step 2: Convert to fraction form
    1,536.19/2,304.30 = 381.94/x
  3. Step 3: Cross multiply
    1,536.19x = 2,304.30 × 381.94
  4. Step 4: Simplify right side
    1,536.19x = 880,104.34
  5. Step 5: Solve for x
    x = 880,104.34/1,536.19
  6. Step 6: Final answer
    x = 572.91

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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.