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Finding the Fourth Proportional to 923.67, 1,272.51 and 756.91

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Solution

The fourth proportional to 923.67, 1,272.51 and 756.91 is: 1,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.67 : 1,272.51 = 756.91 : x
  2. Step 2: Convert to fraction form
    923.67/1,272.51 = 756.91/x
  3. Step 3: Cross multiply
    923.67x = 1,272.51 × 756.91
  4. Step 4: Simplify right side
    923.67x = 963,175.54
  5. Step 5: Solve for x
    x = 963,175.54/923.67
  6. Step 6: Final answer
    x = 1,042.77

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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.