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Finding the Fourth Proportional to 1,185.57, 1,636.20 and 844.70

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Solution

The fourth proportional to 1,185.57, 1,636.20 and 844.70 is: 1,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.57 : 1,636.20 = 844.70 : x
  2. Step 2: Convert to fraction form
    1,185.57/1,636.20 = 844.70/x
  3. Step 3: Cross multiply
    1,185.57x = 1,636.20 × 844.70
  4. Step 4: Simplify right side
    1,185.57x = 1,382,089.96
  5. Step 5: Solve for x
    x = 1,382,089.96/1,185.57
  6. Step 6: Final answer
    x = 1,165.76

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1.5x scale

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.