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Finding the Fourth Proportional to 918.92, 1,369.54 and 892.28

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Solution

The fourth proportional to 918.92, 1,369.54 and 892.28 is: 1,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.92 : 1,369.54 = 892.28 : x
  2. Step 2: Convert to fraction form
    918.92/1,369.54 = 892.28/x
  3. Step 3: Cross multiply
    918.92x = 1,369.54 × 892.28
  4. Step 4: Simplify right side
    918.92x = 1,222,013.15
  5. Step 5: Solve for x
    x = 1,222,013.15/918.92
  6. Step 6: Final answer
    x = 1,329.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.