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Finding the Fourth Proportional to 1,192.07, 1,644.98 and 694.79

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Solution

The fourth proportional to 1,192.07, 1,644.98 and 694.79 is: 958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.07 : 1,644.98 = 694.79 : x
  2. Step 2: Convert to fraction form
    1,192.07/1,644.98 = 694.79/x
  3. Step 3: Cross multiply
    1,192.07x = 1,644.98 × 694.79
  4. Step 4: Simplify right side
    1,192.07x = 1,142,907.43
  5. Step 5: Solve for x
    x = 1,142,907.43/1,192.07
  6. Step 6: Final answer
    x = 958.76

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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.