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Finding the Fourth Proportional to 1,189.56, 1,641.56 and 658.46

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Solution

The fourth proportional to 1,189.56, 1,641.56 and 658.46 is: 908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.56 : 1,641.56 = 658.46 : x
  2. Step 2: Convert to fraction form
    1,189.56/1,641.56 = 658.46/x
  3. Step 3: Cross multiply
    1,189.56x = 1,641.56 × 658.46
  4. Step 4: Simplify right side
    1,189.56x = 1,080,903.23
  5. Step 5: Solve for x
    x = 1,080,903.23/1,189.56
  6. Step 6: Final answer
    x = 908.66

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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.