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Finding the Fourth Proportional to 1,176.18, 1,623.81 and 734.31

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Solution

The fourth proportional to 1,176.18, 1,623.81 and 734.31 is: 1,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.18 : 1,623.81 = 734.31 : x
  2. Step 2: Convert to fraction form
    1,176.18/1,623.81 = 734.31/x
  3. Step 3: Cross multiply
    1,176.18x = 1,623.81 × 734.31
  4. Step 4: Simplify right side
    1,176.18x = 1,192,379.92
  5. Step 5: Solve for x
    x = 1,192,379.92/1,176.18
  6. Step 6: Final answer
    x = 1,013.77

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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.