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Finding the Fourth Proportional to 1,187.26, 1,779.42 and 493.50

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Solution

The fourth proportional to 1,187.26, 1,779.42 and 493.50 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.26 : 1,779.42 = 493.50 : x
  2. Step 2: Convert to fraction form
    1,187.26/1,779.42 = 493.50/x
  3. Step 3: Cross multiply
    1,187.26x = 1,779.42 × 493.50
  4. Step 4: Simplify right side
    1,187.26x = 878,143.77
  5. Step 5: Solve for x
    x = 878,143.77/1,187.26
  6. Step 6: Final answer
    x = 739.64

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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.