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Finding the Fourth Proportional to 1,120.94, 1,679.63 and 773.09

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Solution

The fourth proportional to 1,120.94, 1,679.63 and 773.09 is: 1,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.94 : 1,679.63 = 773.09 : x
  2. Step 2: Convert to fraction form
    1,120.94/1,679.63 = 773.09/x
  3. Step 3: Cross multiply
    1,120.94x = 1,679.63 × 773.09
  4. Step 4: Simplify right side
    1,120.94x = 1,298,492.89
  5. Step 5: Solve for x
    x = 1,298,492.89/1,120.94
  6. Step 6: Final answer
    x = 1,158.40

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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.