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Finding the Fourth Proportional to 2,670.75, 4,005.99 and 722.79

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Solution

The fourth proportional to 2,670.75, 4,005.99 and 722.79 is: 1,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.75 : 4,005.99 = 722.79 : x
  2. Step 2: Convert to fraction form
    2,670.75/4,005.99 = 722.79/x
  3. Step 3: Cross multiply
    2,670.75x = 4,005.99 × 722.79
  4. Step 4: Simplify right side
    2,670.75x = 2,895,489.51
  5. Step 5: Solve for x
    x = 2,895,489.51/2,670.75
  6. Step 6: Final answer
    x = 1,084.15

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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.