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Finding the Fourth Proportional to 1,205.58, 1,664.00 and 708.55

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Solution

The fourth proportional to 1,205.58, 1,664.00 and 708.55 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.58 : 1,664.00 = 708.55 : x
  2. Step 2: Convert to fraction form
    1,205.58/1,664.00 = 708.55/x
  3. Step 3: Cross multiply
    1,205.58x = 1,664.00 × 708.55
  4. Step 4: Simplify right side
    1,205.58x = 1,179,033.18
  5. Step 5: Solve for x
    x = 1,179,033.18/1,205.58
  6. Step 6: Final answer
    x = 977.98

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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.