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Finding the Fourth Proportional to 988.13, 1,363.69 and 656.34

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Solution

The fourth proportional to 988.13, 1,363.69 and 656.34 is: 905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.13 : 1,363.69 = 656.34 : x
  2. Step 2: Convert to fraction form
    988.13/1,363.69 = 656.34/x
  3. Step 3: Cross multiply
    988.13x = 1,363.69 × 656.34
  4. Step 4: Simplify right side
    988.13x = 895,042.56
  5. Step 5: Solve for x
    x = 895,042.56/988.13
  6. Step 6: Final answer
    x = 905.79

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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.