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Finding the Fourth Proportional to 618.68, 929.91 and 414.56

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Solution

The fourth proportional to 618.68, 929.91 and 414.56 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.68 : 929.91 = 414.56 : x
  2. Step 2: Convert to fraction form
    618.68/929.91 = 414.56/x
  3. Step 3: Cross multiply
    618.68x = 929.91 × 414.56
  4. Step 4: Simplify right side
    618.68x = 385,498.84
  5. Step 5: Solve for x
    x = 385,498.84/618.68
  6. Step 6: Final answer
    x = 623.10

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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.