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Finding the Fourth Proportional to 1,192.50, 1,644.38 and 943.42

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Solution

The fourth proportional to 1,192.50, 1,644.38 and 943.42 is: 1,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.50 : 1,644.38 = 943.42 : x
  2. Step 2: Convert to fraction form
    1,192.50/1,644.38 = 943.42/x
  3. Step 3: Cross multiply
    1,192.50x = 1,644.38 × 943.42
  4. Step 4: Simplify right side
    1,192.50x = 1,551,340.98
  5. Step 5: Solve for x
    x = 1,551,340.98/1,192.50
  6. Step 6: Final answer
    x = 1,300.91

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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.