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Finding the Fourth Proportional to 699.90, 1,049.04 and 309.78

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Solution

The fourth proportional to 699.90, 1,049.04 and 309.78 is: 464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.90 : 1,049.04 = 309.78 : x
  2. Step 2: Convert to fraction form
    699.90/1,049.04 = 309.78/x
  3. Step 3: Cross multiply
    699.90x = 1,049.04 × 309.78
  4. Step 4: Simplify right side
    699.90x = 324,971.61
  5. Step 5: Solve for x
    x = 324,971.61/699.90
  6. Step 6: Final answer
    x = 464.31

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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.