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Finding the Fourth Proportional to 1,284.42, 1,773.18 and 989.04

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Solution

The fourth proportional to 1,284.42, 1,773.18 and 989.04 is: 1,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.42 : 1,773.18 = 989.04 : x
  2. Step 2: Convert to fraction form
    1,284.42/1,773.18 = 989.04/x
  3. Step 3: Cross multiply
    1,284.42x = 1,773.18 × 989.04
  4. Step 4: Simplify right side
    1,284.42x = 1,753,745.95
  5. Step 5: Solve for x
    x = 1,753,745.95/1,284.42
  6. Step 6: Final answer
    x = 1,365.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.