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Finding the Fourth Proportional to 797.94, 1,100.93 and 461.82

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Solution

The fourth proportional to 797.94, 1,100.93 and 461.82 is: 637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.94 : 1,100.93 = 461.82 : x
  2. Step 2: Convert to fraction form
    797.94/1,100.93 = 461.82/x
  3. Step 3: Cross multiply
    797.94x = 1,100.93 × 461.82
  4. Step 4: Simplify right side
    797.94x = 508,429.18
  5. Step 5: Solve for x
    x = 508,429.18/797.94
  6. Step 6: Final answer
    x = 637.18

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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.