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Finding the Fourth Proportional to 1,232.12, 1,700.25 and 708.15

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Solution

The fourth proportional to 1,232.12, 1,700.25 and 708.15 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.12 : 1,700.25 = 708.15 : x
  2. Step 2: Convert to fraction form
    1,232.12/1,700.25 = 708.15/x
  3. Step 3: Cross multiply
    1,232.12x = 1,700.25 × 708.15
  4. Step 4: Simplify right side
    1,232.12x = 1,204,032.04
  5. Step 5: Solve for x
    x = 1,204,032.04/1,232.12
  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.