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Finding the Fourth Proportional to 440.82, 607.70 and 316.44

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Solution

The fourth proportional to 440.82, 607.70 and 316.44 is: 436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.82 : 607.70 = 316.44 : x
  2. Step 2: Convert to fraction form
    440.82/607.70 = 316.44/x
  3. Step 3: Cross multiply
    440.82x = 607.70 × 316.44
  4. Step 4: Simplify right side
    440.82x = 192,295.97
  5. Step 5: Solve for x
    x = 192,295.97/440.82
  6. Step 6: Final answer
    x = 436.23

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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.