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Finding the Fourth Proportional to 1,206.50, 1,664.94 and 709.15

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Solution

The fourth proportional to 1,206.50, 1,664.94 and 709.15 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.50 : 1,664.94 = 709.15 : x
  2. Step 2: Convert to fraction form
    1,206.50/1,664.94 = 709.15/x
  3. Step 3: Cross multiply
    1,206.50x = 1,664.94 × 709.15
  4. Step 4: Simplify right side
    1,206.50x = 1,180,694.28
  5. Step 5: Solve for x
    x = 1,180,694.28/1,206.50
  6. Step 6: Final answer
    x = 978.61

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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.