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Finding the Fourth Proportional to 662.13, 992.83 and 315.54

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Solution

The fourth proportional to 662.13, 992.83 and 315.54 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.13 : 992.83 = 315.54 : x
  2. Step 2: Convert to fraction form
    662.13/992.83 = 315.54/x
  3. Step 3: Cross multiply
    662.13x = 992.83 × 315.54
  4. Step 4: Simplify right side
    662.13x = 313,276.79
  5. Step 5: Solve for x
    x = 313,276.79/662.13
  6. Step 6: Final answer
    x = 473.13

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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.