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Finding the Fourth Proportional to 1,176.64, 1,623.54 and 679.12

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Solution

The fourth proportional to 1,176.64, 1,623.54 and 679.12 is: 937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.64 : 1,623.54 = 679.12 : x
  2. Step 2: Convert to fraction form
    1,176.64/1,623.54 = 679.12/x
  3. Step 3: Cross multiply
    1,176.64x = 1,623.54 × 679.12
  4. Step 4: Simplify right side
    1,176.64x = 1,102,578.48
  5. Step 5: Solve for x
    x = 1,102,578.48/1,176.64
  6. Step 6: Final answer
    x = 937.06

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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.