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Finding the Fourth Proportional to 665.73, 997.92 and 460.35

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Solution

The fourth proportional to 665.73, 997.92 and 460.35 is: 690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.73 : 997.92 = 460.35 : x
  2. Step 2: Convert to fraction form
    665.73/997.92 = 460.35/x
  3. Step 3: Cross multiply
    665.73x = 997.92 × 460.35
  4. Step 4: Simplify right side
    665.73x = 459,392.47
  5. Step 5: Solve for x
    x = 459,392.47/665.73
  6. Step 6: Final answer
    x = 690.06

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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.