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Finding the Fourth Proportional to 516, 712.44 and 360.48

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Solution

The fourth proportional to 516, 712.44 and 360.48 is: 497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 712.44 = 360.48 : x
  2. Step 2: Convert to fraction form
    516/712.44 = 360.48/x
  3. Step 3: Cross multiply
    516x = 712.44 × 360.48
  4. Step 4: Simplify right side
    516x = 256,820.37
  5. Step 5: Solve for x
    x = 256,820.37/516
  6. Step 6: Final answer
    x = 497.71

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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.