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Finding the Fourth Proportional to 1,185.77, 1,776.08 and 773.65

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Solution

The fourth proportional to 1,185.77, 1,776.08 and 773.65 is: 1,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.77 : 1,776.08 = 773.65 : x
  2. Step 2: Convert to fraction form
    1,185.77/1,776.08 = 773.65/x
  3. Step 3: Cross multiply
    1,185.77x = 1,776.08 × 773.65
  4. Step 4: Simplify right side
    1,185.77x = 1,374,064.29
  5. Step 5: Solve for x
    x = 1,374,064.29/1,185.77
  6. Step 6: Final answer
    x = 1,158.80

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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.