Home / 1,185.12-1,777.80-536.16

Finding the Fourth Proportional to 1,185.12, 1,777.80 and 536.16

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Solution

The fourth proportional to 1,185.12, 1,777.80 and 536.16 is: 804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.12 : 1,777.80 = 536.16 : x
  2. Step 2: Convert to fraction form
    1,185.12/1,777.80 = 536.16/x
  3. Step 3: Cross multiply
    1,185.12x = 1,777.80 × 536.16
  4. Step 4: Simplify right side
    1,185.12x = 953,185.25
  5. Step 5: Solve for x
    x = 953,185.25/1,185.12
  6. Step 6: Final answer
    x = 804.29

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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.