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Finding the Fourth Proportional to 795.97, 1,098.12 and 497.05

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Solution

The fourth proportional to 795.97, 1,098.12 and 497.05 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.97 : 1,098.12 = 497.05 : x
  2. Step 2: Convert to fraction form
    795.97/1,098.12 = 497.05/x
  3. Step 3: Cross multiply
    795.97x = 1,098.12 × 497.05
  4. Step 4: Simplify right side
    795.97x = 545,820.55
  5. Step 5: Solve for x
    x = 545,820.55/795.97
  6. Step 6: Final answer
    x = 685.73

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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.