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Finding the Fourth Proportional to 923.41, 1,274.52 and 628.77

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Solution

The fourth proportional to 923.41, 1,274.52 and 628.77 is: 867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.41 : 1,274.52 = 628.77 : x
  2. Step 2: Convert to fraction form
    923.41/1,274.52 = 628.77/x
  3. Step 3: Cross multiply
    923.41x = 1,274.52 × 628.77
  4. Step 4: Simplify right side
    923.41x = 801,387.08
  5. Step 5: Solve for x
    x = 801,387.08/923.41
  6. Step 6: Final answer
    x = 867.86

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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.