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Finding the Fourth Proportional to 892.40, 1,200.90 and 892.40

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Solution

The fourth proportional to 892.40, 1,200.90 and 892.40 is: 1,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,200.90 = 892.40 : x
  2. Step 2: Convert to fraction form
    892.40/1,200.90 = 892.40/x
  3. Step 3: Cross multiply
    892.40x = 1,200.90 × 892.40
  4. Step 4: Simplify right side
    892.40x = 1,071,683.16
  5. Step 5: Solve for x
    x = 1,071,683.16/892.40
  6. Step 6: Final answer
    x = 1,200.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.