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Finding the Fourth Proportional to 1,118.04, 1,682.98 and 795.64

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Solution

The fourth proportional to 1,118.04, 1,682.98 and 795.64 is: 1,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.04 : 1,682.98 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,118.04/1,682.98 = 795.64/x
  3. Step 3: Cross multiply
    1,118.04x = 1,682.98 × 795.64
  4. Step 4: Simplify right side
    1,118.04x = 1,339,046.21
  5. Step 5: Solve for x
    x = 1,339,046.21/1,118.04
  6. Step 6: Final answer
    x = 1,197.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.