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Finding the Fourth Proportional to 1,220.42, 1,828.88 and 699.34

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Solution

The fourth proportional to 1,220.42, 1,828.88 and 699.34 is: 1,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.42 : 1,828.88 = 699.34 : x
  2. Step 2: Convert to fraction form
    1,220.42/1,828.88 = 699.34/x
  3. Step 3: Cross multiply
    1,220.42x = 1,828.88 × 699.34
  4. Step 4: Simplify right side
    1,220.42x = 1,279,008.94
  5. Step 5: Solve for x
    x = 1,279,008.94/1,220.42
  6. Step 6: Final answer
    x = 1,048.01

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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.