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Finding the Fourth Proportional to 1,205.99, 1,664.33 and 708.77

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Solution

The fourth proportional to 1,205.99, 1,664.33 and 708.77 is: 978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.99 : 1,664.33 = 708.77 : x
  2. Step 2: Convert to fraction form
    1,205.99/1,664.33 = 708.77/x
  3. Step 3: Cross multiply
    1,205.99x = 1,664.33 × 708.77
  4. Step 4: Simplify right side
    1,205.99x = 1,179,627.17
  5. Step 5: Solve for x
    x = 1,179,627.17/1,205.99
  6. Step 6: Final answer
    x = 978.14

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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.