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Finding the Fourth Proportional to 618.68, 926.79 and 464.78

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Solution

The fourth proportional to 618.68, 926.79 and 464.78 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.68 : 926.79 = 464.78 : x
  2. Step 2: Convert to fraction form
    618.68/926.79 = 464.78/x
  3. Step 3: Cross multiply
    618.68x = 926.79 × 464.78
  4. Step 4: Simplify right side
    618.68x = 430,748.82
  5. Step 5: Solve for x
    x = 430,748.82/618.68
  6. Step 6: Final answer
    x = 696.24

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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.