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Finding the Fourth Proportional to 988.62, 1,365.96 and 689.46

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Solution

The fourth proportional to 988.62, 1,365.96 and 689.46 is: 952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.62 : 1,365.96 = 689.46 : x
  2. Step 2: Convert to fraction form
    988.62/1,365.96 = 689.46/x
  3. Step 3: Cross multiply
    988.62x = 1,365.96 × 689.46
  4. Step 4: Simplify right side
    988.62x = 941,774.78
  5. Step 5: Solve for x
    x = 941,774.78/988.62
  6. Step 6: Final answer
    x = 952.62

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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.