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Finding the Fourth Proportional to 1,187.91, 1,782.14 and 538.83

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Solution

The fourth proportional to 1,187.91, 1,782.14 and 538.83 is: 808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.91 : 1,782.14 = 538.83 : x
  2. Step 2: Convert to fraction form
    1,187.91/1,782.14 = 538.83/x
  3. Step 3: Cross multiply
    1,187.91x = 1,782.14 × 538.83
  4. Step 4: Simplify right side
    1,187.91x = 960,267.80
  5. Step 5: Solve for x
    x = 960,267.80/1,187.91
  6. Step 6: Final answer
    x = 808.37

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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.