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Finding the Fourth Proportional to 699.50, 1,048.97 and 212.46

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Solution

The fourth proportional to 699.50, 1,048.97 and 212.46 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.50 : 1,048.97 = 212.46 : x
  2. Step 2: Convert to fraction form
    699.50/1,048.97 = 212.46/x
  3. Step 3: Cross multiply
    699.50x = 1,048.97 × 212.46
  4. Step 4: Simplify right side
    699.50x = 222,864.17
  5. Step 5: Solve for x
    x = 222,864.17/699.50
  6. Step 6: Final answer
    x = 318.60

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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.