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Finding the Fourth Proportional to 1,145.25, 1,580.49 and 679.50

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Solution

The fourth proportional to 1,145.25, 1,580.49 and 679.50 is: 937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.25 : 1,580.49 = 679.50 : x
  2. Step 2: Convert to fraction form
    1,145.25/1,580.49 = 679.50/x
  3. Step 3: Cross multiply
    1,145.25x = 1,580.49 × 679.50
  4. Step 4: Simplify right side
    1,145.25x = 1,073,942.96
  5. Step 5: Solve for x
    x = 1,073,942.96/1,145.25
  6. Step 6: Final answer
    x = 937.74

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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.