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Finding the Fourth Proportional to 1,164.99, 1,747.79 and 677.62

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Solution

The fourth proportional to 1,164.99, 1,747.79 and 677.62 is: 1,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.99 : 1,747.79 = 677.62 : x
  2. Step 2: Convert to fraction form
    1,164.99/1,747.79 = 677.62/x
  3. Step 3: Cross multiply
    1,164.99x = 1,747.79 × 677.62
  4. Step 4: Simplify right side
    1,164.99x = 1,184,337.46
  5. Step 5: Solve for x
    x = 1,184,337.46/1,164.99
  6. Step 6: Final answer
    x = 1,016.61

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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.