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Finding the Fourth Proportional to 923.22, 1,274.02 and 503.57

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Solution

The fourth proportional to 923.22, 1,274.02 and 503.57 is: 694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.22 : 1,274.02 = 503.57 : x
  2. Step 2: Convert to fraction form
    923.22/1,274.02 = 503.57/x
  3. Step 3: Cross multiply
    923.22x = 1,274.02 × 503.57
  4. Step 4: Simplify right side
    923.22x = 641,556.99
  5. Step 5: Solve for x
    x = 641,556.99/923.22
  6. Step 6: Final answer
    x = 694.91

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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.