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Finding the Fourth Proportional to 1,176.34, 1,623.47 and 679

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Solution

The fourth proportional to 1,176.34, 1,623.47 and 679 is: 937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.34 : 1,623.47 = 679 : x
  2. Step 2: Convert to fraction form
    1,176.34/1,623.47 = 679/x
  3. Step 3: Cross multiply
    1,176.34x = 1,623.47 × 679
  4. Step 4: Simplify right side
    1,176.34x = 1,102,336.13
  5. Step 5: Solve for x
    x = 1,102,336.13/1,176.34
  6. Step 6: Final answer
    x = 937.09

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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.