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Finding the Fourth Proportional to 1,072.65, 1,480.23 and 699.78

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Solution

The fourth proportional to 1,072.65, 1,480.23 and 699.78 is: 965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.65 : 1,480.23 = 699.78 : x
  2. Step 2: Convert to fraction form
    1,072.65/1,480.23 = 699.78/x
  3. Step 3: Cross multiply
    1,072.65x = 1,480.23 × 699.78
  4. Step 4: Simplify right side
    1,072.65x = 1,035,835.35
  5. Step 5: Solve for x
    x = 1,035,835.35/1,072.65
  6. Step 6: Final answer
    x = 965.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.