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Finding the Fourth Proportional to 1,072.86, 1,478.95 and 757.09

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Solution

The fourth proportional to 1,072.86, 1,478.95 and 757.09 is: 1,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.86 : 1,478.95 = 757.09 : x
  2. Step 2: Convert to fraction form
    1,072.86/1,478.95 = 757.09/x
  3. Step 3: Cross multiply
    1,072.86x = 1,478.95 × 757.09
  4. Step 4: Simplify right side
    1,072.86x = 1,119,698.26
  5. Step 5: Solve for x
    x = 1,119,698.26/1,072.86
  6. Step 6: Final answer
    x = 1,043.66

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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.