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Finding the Fourth Proportional to 1,185.08, 1,634.88 and 712.70

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Solution

The fourth proportional to 1,185.08, 1,634.88 and 712.70 is: 983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.08 : 1,634.88 = 712.70 : x
  2. Step 2: Convert to fraction form
    1,185.08/1,634.88 = 712.70/x
  3. Step 3: Cross multiply
    1,185.08x = 1,634.88 × 712.70
  4. Step 4: Simplify right side
    1,185.08x = 1,165,178.98
  5. Step 5: Solve for x
    x = 1,165,178.98/1,185.08
  6. Step 6: Final answer
    x = 983.21

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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.