Home / 1,461.09-2,190.34-536.43

Finding the Fourth Proportional to 1,461.09, 2,190.34 and 536.43

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Solution

The fourth proportional to 1,461.09, 2,190.34 and 536.43 is: 804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.09 : 2,190.34 = 536.43 : x
  2. Step 2: Convert to fraction form
    1,461.09/2,190.34 = 536.43/x
  3. Step 3: Cross multiply
    1,461.09x = 2,190.34 × 536.43
  4. Step 4: Simplify right side
    1,461.09x = 1,174,964.09
  5. Step 5: Solve for x
    x = 1,174,964.09/1,461.09
  6. Step 6: Final answer
    x = 804.17

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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.