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Finding the Fourth Proportional to 1,186.41, 1,779.62 and 536.39

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Solution

The fourth proportional to 1,186.41, 1,779.62 and 536.39 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.41 : 1,779.62 = 536.39 : x
  2. Step 2: Convert to fraction form
    1,186.41/1,779.62 = 536.39/x
  3. Step 3: Cross multiply
    1,186.41x = 1,779.62 × 536.39
  4. Step 4: Simplify right side
    1,186.41x = 954,558.79
  5. Step 5: Solve for x
    x = 954,558.79/1,186.41
  6. Step 6: Final answer
    x = 804.58

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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.