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Finding the Fourth Proportional to 798.07, 1,101.35 and 461.97

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Solution

The fourth proportional to 798.07, 1,101.35 and 461.97 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.07 : 1,101.35 = 461.97 : x
  2. Step 2: Convert to fraction form
    798.07/1,101.35 = 461.97/x
  3. Step 3: Cross multiply
    798.07x = 1,101.35 × 461.97
  4. Step 4: Simplify right side
    798.07x = 508,790.66
  5. Step 5: Solve for x
    x = 508,790.66/798.07
  6. Step 6: Final answer
    x = 637.53

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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.