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Finding the Fourth Proportional to 618.58, 926.50 and 423.11

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Solution

The fourth proportional to 618.58, 926.50 and 423.11 is: 633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.58 : 926.50 = 423.11 : x
  2. Step 2: Convert to fraction form
    618.58/926.50 = 423.11/x
  3. Step 3: Cross multiply
    618.58x = 926.50 × 423.11
  4. Step 4: Simplify right side
    618.58x = 392,012.67
  5. Step 5: Solve for x
    x = 392,012.67/618.58
  6. Step 6: Final answer
    x = 633.73

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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.