Home / 1,072.09-1,605.30-926.29

Finding the Fourth Proportional to 1,072.09, 1,605.30 and 926.29

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Solution

The fourth proportional to 1,072.09, 1,605.30 and 926.29 is: 1,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.09 : 1,605.30 = 926.29 : x
  2. Step 2: Convert to fraction form
    1,072.09/1,605.30 = 926.29/x
  3. Step 3: Cross multiply
    1,072.09x = 1,605.30 × 926.29
  4. Step 4: Simplify right side
    1,072.09x = 1,486,973.34
  5. Step 5: Solve for x
    x = 1,486,973.34/1,072.09
  6. Step 6: Final answer
    x = 1,386.99

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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.