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Finding the Fourth Proportional to 1,192.68, 1,787.90 and 905.40

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Solution

The fourth proportional to 1,192.68, 1,787.90 and 905.40 is: 1,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.68 : 1,787.90 = 905.40 : x
  2. Step 2: Convert to fraction form
    1,192.68/1,787.90 = 905.40/x
  3. Step 3: Cross multiply
    1,192.68x = 1,787.90 × 905.40
  4. Step 4: Simplify right side
    1,192.68x = 1,618,764.66
  5. Step 5: Solve for x
    x = 1,618,764.66/1,192.68
  6. Step 6: Final answer
    x = 1,357.25

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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.