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Finding the Fourth Proportional to 1,186.58, 1,776.13 and 665.35

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Solution

The fourth proportional to 1,186.58, 1,776.13 and 665.35 is: 995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.58 : 1,776.13 = 665.35 : x
  2. Step 2: Convert to fraction form
    1,186.58/1,776.13 = 665.35/x
  3. Step 3: Cross multiply
    1,186.58x = 1,776.13 × 665.35
  4. Step 4: Simplify right side
    1,186.58x = 1,181,741.99
  5. Step 5: Solve for x
    x = 1,181,741.99/1,186.58
  6. Step 6: Final answer
    x = 995.92

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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.