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Finding the Fourth Proportional to 460.92, 688.12 and 391.72

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Solution

The fourth proportional to 460.92, 688.12 and 391.72 is: 584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 688.12 = 391.72 : x
  2. Step 2: Convert to fraction form
    460.92/688.12 = 391.72/x
  3. Step 3: Cross multiply
    460.92x = 688.12 × 391.72
  4. Step 4: Simplify right side
    460.92x = 269,550.37
  5. Step 5: Solve for x
    x = 269,550.37/460.92
  6. Step 6: Final answer
    x = 584.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.