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Finding the Fourth Proportional to 462.83, 638.93 and 316.23

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Solution

The fourth proportional to 462.83, 638.93 and 316.23 is: 436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.83 : 638.93 = 316.23 : x
  2. Step 2: Convert to fraction form
    462.83/638.93 = 316.23/x
  3. Step 3: Cross multiply
    462.83x = 638.93 × 316.23
  4. Step 4: Simplify right side
    462.83x = 202,049.62
  5. Step 5: Solve for x
    x = 202,049.62/462.83
  6. Step 6: Final answer
    x = 436.55

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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.