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Finding the Fourth Proportional to 795.86, 1,098.45 and 446.66

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Solution

The fourth proportional to 795.86, 1,098.45 and 446.66 is: 616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.86 : 1,098.45 = 446.66 : x
  2. Step 2: Convert to fraction form
    795.86/1,098.45 = 446.66/x
  3. Step 3: Cross multiply
    795.86x = 1,098.45 × 446.66
  4. Step 4: Simplify right side
    795.86x = 490,633.68
  5. Step 5: Solve for x
    x = 490,633.68/795.86
  6. Step 6: Final answer
    x = 616.48

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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.