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Finding the Fourth Proportional to 767.54, 1,060.28 and 684.62

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Solution

The fourth proportional to 767.54, 1,060.28 and 684.62 is: 945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.54 : 1,060.28 = 684.62 : x
  2. Step 2: Convert to fraction form
    767.54/1,060.28 = 684.62/x
  3. Step 3: Cross multiply
    767.54x = 1,060.28 × 684.62
  4. Step 4: Simplify right side
    767.54x = 725,880.17
  5. Step 5: Solve for x
    x = 725,880.17/767.54
  6. Step 6: Final answer
    x = 945.73

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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.