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Finding the Fourth Proportional to 1,185.81, 1,773.55 and 894.66

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Solution

The fourth proportional to 1,185.81, 1,773.55 and 894.66 is: 1,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.81 : 1,773.55 = 894.66 : x
  2. Step 2: Convert to fraction form
    1,185.81/1,773.55 = 894.66/x
  3. Step 3: Cross multiply
    1,185.81x = 1,773.55 × 894.66
  4. Step 4: Simplify right side
    1,185.81x = 1,586,723.65
  5. Step 5: Solve for x
    x = 1,586,723.65/1,185.81
  6. Step 6: Final answer
    x = 1,338.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.