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Finding the Fourth Proportional to 662.24, 992.62 and 315.29

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Solution

The fourth proportional to 662.24, 992.62 and 315.29 is: 472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 992.62 = 315.29 : x
  2. Step 2: Convert to fraction form
    662.24/992.62 = 315.29/x
  3. Step 3: Cross multiply
    662.24x = 992.62 × 315.29
  4. Step 4: Simplify right side
    662.24x = 312,966.04
  5. Step 5: Solve for x
    x = 312,966.04/662.24
  6. Step 6: Final answer
    x = 472.59

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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.