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Finding the Fourth Proportional to 1,186.83, 1,779.98 and 667.07

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Solution

The fourth proportional to 1,186.83, 1,779.98 and 667.07 is: 1,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.83 : 1,779.98 = 667.07 : x
  2. Step 2: Convert to fraction form
    1,186.83/1,779.98 = 667.07/x
  3. Step 3: Cross multiply
    1,186.83x = 1,779.98 × 667.07
  4. Step 4: Simplify right side
    1,186.83x = 1,187,362.36
  5. Step 5: Solve for x
    x = 1,187,362.36/1,186.83
  6. Step 6: Final answer
    x = 1,000.45

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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.