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Finding the Fourth Proportional to 1,184.23, 1,633.96 and 711.97

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Solution

The fourth proportional to 1,184.23, 1,633.96 and 711.97 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.23 : 1,633.96 = 711.97 : x
  2. Step 2: Convert to fraction form
    1,184.23/1,633.96 = 711.97/x
  3. Step 3: Cross multiply
    1,184.23x = 1,633.96 × 711.97
  4. Step 4: Simplify right side
    1,184.23x = 1,163,330.50
  5. Step 5: Solve for x
    x = 1,163,330.50/1,184.23
  6. Step 6: Final answer
    x = 982.35

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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.