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Finding the Fourth Proportional to 699.51, 1,049.10 and 309.30

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Solution

The fourth proportional to 699.51, 1,049.10 and 309.30 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.51 : 1,049.10 = 309.30 : x
  2. Step 2: Convert to fraction form
    699.51/1,049.10 = 309.30/x
  3. Step 3: Cross multiply
    699.51x = 1,049.10 × 309.30
  4. Step 4: Simplify right side
    699.51x = 324,487.79
  5. Step 5: Solve for x
    x = 324,487.79/699.51
  6. Step 6: Final answer
    x = 463.88

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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.