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Finding the Fourth Proportional to 1,232.09, 1,700.31 and 708.11

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Solution

The fourth proportional to 1,232.09, 1,700.31 and 708.11 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.09 : 1,700.31 = 708.11 : x
  2. Step 2: Convert to fraction form
    1,232.09/1,700.31 = 708.11/x
  3. Step 3: Cross multiply
    1,232.09x = 1,700.31 × 708.11
  4. Step 4: Simplify right side
    1,232.09x = 1,204,006.51
  5. Step 5: Solve for x
    x = 1,204,006.51/1,232.09
  6. Step 6: Final answer
    x = 977.21

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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.