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Finding the Fourth Proportional to 508.73, 701.97 and 312.21

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Solution

The fourth proportional to 508.73, 701.97 and 312.21 is: 430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.73 : 701.97 = 312.21 : x
  2. Step 2: Convert to fraction form
    508.73/701.97 = 312.21/x
  3. Step 3: Cross multiply
    508.73x = 701.97 × 312.21
  4. Step 4: Simplify right side
    508.73x = 219,162.05
  5. Step 5: Solve for x
    x = 219,162.05/508.73
  6. Step 6: Final answer
    x = 430.81

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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.