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Finding the Fourth Proportional to 1,186.56, 1,779.10 and 862.20

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Solution

The fourth proportional to 1,186.56, 1,779.10 and 862.20 is: 1,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.56 : 1,779.10 = 862.20 : x
  2. Step 2: Convert to fraction form
    1,186.56/1,779.10 = 862.20/x
  3. Step 3: Cross multiply
    1,186.56x = 1,779.10 × 862.20
  4. Step 4: Simplify right side
    1,186.56x = 1,533,940.02
  5. Step 5: Solve for x
    x = 1,533,940.02/1,186.56
  6. Step 6: Final answer
    x = 1,292.76

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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.