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Finding the Fourth Proportional to 608.06, 840.84 and 460.64

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Solution

The fourth proportional to 608.06, 840.84 and 460.64 is: 636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.06 : 840.84 = 460.64 : x
  2. Step 2: Convert to fraction form
    608.06/840.84 = 460.64/x
  3. Step 3: Cross multiply
    608.06x = 840.84 × 460.64
  4. Step 4: Simplify right side
    608.06x = 387,324.54
  5. Step 5: Solve for x
    x = 387,324.54/608.06
  6. Step 6: Final answer
    x = 636.98

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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.