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Finding the Fourth Proportional to 797.88, 1,101.14 and 448.68

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Solution

The fourth proportional to 797.88, 1,101.14 and 448.68 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,101.14 = 448.68 : x
  2. Step 2: Convert to fraction form
    797.88/1,101.14 = 448.68/x
  3. Step 3: Cross multiply
    797.88x = 1,101.14 × 448.68
  4. Step 4: Simplify right side
    797.88x = 494,059.50
  5. Step 5: Solve for x
    x = 494,059.50/797.88
  6. Step 6: Final answer
    x = 619.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.