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Finding the Fourth Proportional to 618.66, 926.15 and 423.86

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Solution

The fourth proportional to 618.66, 926.15 and 423.86 is: 634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.66 : 926.15 = 423.86 : x
  2. Step 2: Convert to fraction form
    618.66/926.15 = 423.86/x
  3. Step 3: Cross multiply
    618.66x = 926.15 × 423.86
  4. Step 4: Simplify right side
    618.66x = 392,551.19
  5. Step 5: Solve for x
    x = 392,551.19/618.66
  6. Step 6: Final answer
    x = 634.52

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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.