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Finding the Fourth Proportional to 1,189.34, 1,640.51 and 716.91

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Solution

The fourth proportional to 1,189.34, 1,640.51 and 716.91 is: 988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.34 : 1,640.51 = 716.91 : x
  2. Step 2: Convert to fraction form
    1,189.34/1,640.51 = 716.91/x
  3. Step 3: Cross multiply
    1,189.34x = 1,640.51 × 716.91
  4. Step 4: Simplify right side
    1,189.34x = 1,176,098.02
  5. Step 5: Solve for x
    x = 1,176,098.02/1,189.34
  6. Step 6: Final answer
    x = 988.87

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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.