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Finding the Fourth Proportional to 797.58, 1,100.59 and 461.43

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Solution

The fourth proportional to 797.58, 1,100.59 and 461.43 is: 636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.58 : 1,100.59 = 461.43 : x
  2. Step 2: Convert to fraction form
    797.58/1,100.59 = 461.43/x
  3. Step 3: Cross multiply
    797.58x = 1,100.59 × 461.43
  4. Step 4: Simplify right side
    797.58x = 507,844.09
  5. Step 5: Solve for x
    x = 507,844.09/797.58
  6. Step 6: Final answer
    x = 636.73

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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.