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Finding the Fourth Proportional to 795.89, 1,193.82 and 309.28

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Solution

The fourth proportional to 795.89, 1,193.82 and 309.28 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.89 : 1,193.82 = 309.28 : x
  2. Step 2: Convert to fraction form
    795.89/1,193.82 = 309.28/x
  3. Step 3: Cross multiply
    795.89x = 1,193.82 × 309.28
  4. Step 4: Simplify right side
    795.89x = 369,221.67
  5. Step 5: Solve for x
    x = 369,221.67/795.89
  6. Step 6: Final answer
    x = 463.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.