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Finding the Fourth Proportional to 1,176.09, 1,622.94 and 644.87

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Solution

The fourth proportional to 1,176.09, 1,622.94 and 644.87 is: 889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.09 : 1,622.94 = 644.87 : x
  2. Step 2: Convert to fraction form
    1,176.09/1,622.94 = 644.87/x
  3. Step 3: Cross multiply
    1,176.09x = 1,622.94 × 644.87
  4. Step 4: Simplify right side
    1,176.09x = 1,046,585.32
  5. Step 5: Solve for x
    x = 1,046,585.32/1,176.09
  6. Step 6: Final answer
    x = 889.89

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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.