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Finding the Fourth Proportional to 1,512.95, 2,270.63 and 782.73

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Solution

The fourth proportional to 1,512.95, 2,270.63 and 782.73 is: 1,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.95 : 2,270.63 = 782.73 : x
  2. Step 2: Convert to fraction form
    1,512.95/2,270.63 = 782.73/x
  3. Step 3: Cross multiply
    1,512.95x = 2,270.63 × 782.73
  4. Step 4: Simplify right side
    1,512.95x = 1,777,286.31
  5. Step 5: Solve for x
    x = 1,777,286.31/1,512.95
  6. Step 6: Final answer
    x = 1,174.72

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1.5x scale

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.