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Finding the Fourth Proportional to 618.16, 852.36 and 462.64

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Solution

The fourth proportional to 618.16, 852.36 and 462.64 is: 637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 852.36 = 462.64 : x
  2. Step 2: Convert to fraction form
    618.16/852.36 = 462.64/x
  3. Step 3: Cross multiply
    618.16x = 852.36 × 462.64
  4. Step 4: Simplify right side
    618.16x = 394,335.83
  5. Step 5: Solve for x
    x = 394,335.83/618.16
  6. Step 6: Final answer
    x = 637.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.