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Finding the Fourth Proportional to 1,186.47, 1,779.26 and 820.15

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Solution

The fourth proportional to 1,186.47, 1,779.26 and 820.15 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.47 : 1,779.26 = 820.15 : x
  2. Step 2: Convert to fraction form
    1,186.47/1,779.26 = 820.15/x
  3. Step 3: Cross multiply
    1,186.47x = 1,779.26 × 820.15
  4. Step 4: Simplify right side
    1,186.47x = 1,459,258.21
  5. Step 5: Solve for x
    x = 1,459,258.21/1,186.47
  6. Step 6: Final answer
    x = 1,229.91

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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.