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Finding the Fourth Proportional to 1,102.06, 1,520.67 and 708.94

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Solution

The fourth proportional to 1,102.06, 1,520.67 and 708.94 is: 978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,520.67 = 708.94 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,520.67 = 708.94/x
  3. Step 3: Cross multiply
    1,102.06x = 1,520.67 × 708.94
  4. Step 4: Simplify right side
    1,102.06x = 1,078,063.79
  5. Step 5: Solve for x
    x = 1,078,063.79/1,102.06
  6. Step 6: Final answer
    x = 978.23

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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.