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Finding the Fourth Proportional to 988.16, 1,362.70 and 789.64

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Solution

The fourth proportional to 988.16, 1,362.70 and 789.64 is: 1,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.16 : 1,362.70 = 789.64 : x
  2. Step 2: Convert to fraction form
    988.16/1,362.70 = 789.64/x
  3. Step 3: Cross multiply
    988.16x = 1,362.70 × 789.64
  4. Step 4: Simplify right side
    988.16x = 1,076,042.43
  5. Step 5: Solve for x
    x = 1,076,042.43/988.16
  6. Step 6: Final answer
    x = 1,088.94

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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.