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Finding the Fourth Proportional to 1,205.63, 1,663.49 and 708.29

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Solution

The fourth proportional to 1,205.63, 1,663.49 and 708.29 is: 977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.63 : 1,663.49 = 708.29 : x
  2. Step 2: Convert to fraction form
    1,205.63/1,663.49 = 708.29/x
  3. Step 3: Cross multiply
    1,205.63x = 1,663.49 × 708.29
  4. Step 4: Simplify right side
    1,205.63x = 1,178,226.79
  5. Step 5: Solve for x
    x = 1,178,226.79/1,205.63
  6. Step 6: Final answer
    x = 977.27

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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.