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Finding the Fourth Proportional to 1,186.27, 1,779.68 and 364.53

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Solution

The fourth proportional to 1,186.27, 1,779.68 and 364.53 is: 546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.27 : 1,779.68 = 364.53 : x
  2. Step 2: Convert to fraction form
    1,186.27/1,779.68 = 364.53/x
  3. Step 3: Cross multiply
    1,186.27x = 1,779.68 × 364.53
  4. Step 4: Simplify right side
    1,186.27x = 648,744.93
  5. Step 5: Solve for x
    x = 648,744.93/1,186.27
  6. Step 6: Final answer
    x = 546.88

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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.