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Finding the Fourth Proportional to 1,186.45, 1,776.32 and 629.89

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Solution

The fourth proportional to 1,186.45, 1,776.32 and 629.89 is: 943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.45 : 1,776.32 = 629.89 : x
  2. Step 2: Convert to fraction form
    1,186.45/1,776.32 = 629.89/x
  3. Step 3: Cross multiply
    1,186.45x = 1,776.32 × 629.89
  4. Step 4: Simplify right side
    1,186.45x = 1,118,886.20
  5. Step 5: Solve for x
    x = 1,118,886.20/1,186.45
  6. Step 6: Final answer
    x = 943.05

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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.