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Finding the Fourth Proportional to 1,186.23, 1,779.29 and 455.76

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Solution

The fourth proportional to 1,186.23, 1,779.29 and 455.76 is: 683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.23 : 1,779.29 = 455.76 : x
  2. Step 2: Convert to fraction form
    1,186.23/1,779.29 = 455.76/x
  3. Step 3: Cross multiply
    1,186.23x = 1,779.29 × 455.76
  4. Step 4: Simplify right side
    1,186.23x = 810,929.21
  5. Step 5: Solve for x
    x = 810,929.21/1,186.23
  6. Step 6: Final answer
    x = 683.62

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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.