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Finding the Fourth Proportional to 923.54, 1,264.78 and 911.39

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Solution

The fourth proportional to 923.54, 1,264.78 and 911.39 is: 1,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.54 : 1,264.78 = 911.39 : x
  2. Step 2: Convert to fraction form
    923.54/1,264.78 = 911.39/x
  3. Step 3: Cross multiply
    923.54x = 1,264.78 × 911.39
  4. Step 4: Simplify right side
    923.54x = 1,152,707.84
  5. Step 5: Solve for x
    x = 1,152,707.84/923.54
  6. Step 6: Final answer
    x = 1,248.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.