Home / 1,381.15-2,071.73-407.28

Finding the Fourth Proportional to 1,381.15, 2,071.73 and 407.28

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Solution

The fourth proportional to 1,381.15, 2,071.73 and 407.28 is: 610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.15 : 2,071.73 = 407.28 : x
  2. Step 2: Convert to fraction form
    1,381.15/2,071.73 = 407.28/x
  3. Step 3: Cross multiply
    1,381.15x = 2,071.73 × 407.28
  4. Step 4: Simplify right side
    1,381.15x = 843,769.04
  5. Step 5: Solve for x
    x = 843,769.04/1,381.15
  6. Step 6: Final answer
    x = 610.92

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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.