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Finding the Fourth Proportional to 1,185.64, 1,779.11 and 492.79

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Solution

The fourth proportional to 1,185.64, 1,779.11 and 492.79 is: 739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.64 : 1,779.11 = 492.79 : x
  2. Step 2: Convert to fraction form
    1,185.64/1,779.11 = 492.79/x
  3. Step 3: Cross multiply
    1,185.64x = 1,779.11 × 492.79
  4. Step 4: Simplify right side
    1,185.64x = 876,727.56
  5. Step 5: Solve for x
    x = 876,727.56/1,185.64
  6. Step 6: Final answer
    x = 739.45

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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.