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Finding the Fourth Proportional to 1,191.55, 1,644.36 and 694.23

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Solution

The fourth proportional to 1,191.55, 1,644.36 and 694.23 is: 958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.55 : 1,644.36 = 694.23 : x
  2. Step 2: Convert to fraction form
    1,191.55/1,644.36 = 694.23/x
  3. Step 3: Cross multiply
    1,191.55x = 1,644.36 × 694.23
  4. Step 4: Simplify right side
    1,191.55x = 1,141,564.04
  5. Step 5: Solve for x
    x = 1,141,564.04/1,191.55
  6. Step 6: Final answer
    x = 958.05

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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.