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Finding the Fourth Proportional to 1,191.34, 1,786.47 and 497.44

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Solution

The fourth proportional to 1,191.34, 1,786.47 and 497.44 is: 745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.34 : 1,786.47 = 497.44 : x
  2. Step 2: Convert to fraction form
    1,191.34/1,786.47 = 497.44/x
  3. Step 3: Cross multiply
    1,191.34x = 1,786.47 × 497.44
  4. Step 4: Simplify right side
    1,191.34x = 888,661.64
  5. Step 5: Solve for x
    x = 888,661.64/1,191.34
  6. Step 6: Final answer
    x = 745.93

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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.