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Finding the Fourth Proportional to 1,385.97, 1,912.94 and 944.92

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Solution

The fourth proportional to 1,385.97, 1,912.94 and 944.92 is: 1,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.97 : 1,912.94 = 944.92 : x
  2. Step 2: Convert to fraction form
    1,385.97/1,912.94 = 944.92/x
  3. Step 3: Cross multiply
    1,385.97x = 1,912.94 × 944.92
  4. Step 4: Simplify right side
    1,385.97x = 1,807,575.26
  5. Step 5: Solve for x
    x = 1,807,575.26/1,385.97
  6. Step 6: Final answer
    x = 1,304.20

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1.5x scale

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.