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Finding the Fourth Proportional to 518.68, 780.54 and 467.56

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Solution

The fourth proportional to 518.68, 780.54 and 467.56 is: 703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.68 : 780.54 = 467.56 : x
  2. Step 2: Convert to fraction form
    518.68/780.54 = 467.56/x
  3. Step 3: Cross multiply
    518.68x = 780.54 × 467.56
  4. Step 4: Simplify right side
    518.68x = 364,949.28
  5. Step 5: Solve for x
    x = 364,949.28/518.68
  6. Step 6: Final answer
    x = 703.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.