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Finding the Fourth Proportional to 1,106.12, 1,656.48 and 779.96

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Solution

The fourth proportional to 1,106.12, 1,656.48 and 779.96 is: 1,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.12 : 1,656.48 = 779.96 : x
  2. Step 2: Convert to fraction form
    1,106.12/1,656.48 = 779.96/x
  3. Step 3: Cross multiply
    1,106.12x = 1,656.48 × 779.96
  4. Step 4: Simplify right side
    1,106.12x = 1,291,988.14
  5. Step 5: Solve for x
    x = 1,291,988.14/1,106.12
  6. Step 6: Final answer
    x = 1,168.04

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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.