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Finding the Fourth Proportional to 923.12, 1,274.24 and 737

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Solution

The fourth proportional to 923.12, 1,274.24 and 737 is: 1,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.12 : 1,274.24 = 737 : x
  2. Step 2: Convert to fraction form
    923.12/1,274.24 = 737/x
  3. Step 3: Cross multiply
    923.12x = 1,274.24 × 737
  4. Step 4: Simplify right side
    923.12x = 939,114.88
  5. Step 5: Solve for x
    x = 939,114.88/923.12
  6. Step 6: Final answer
    x = 1,017.33

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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.