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Finding the Fourth Proportional to 508.56, 701.61 and 311.73

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Solution

The fourth proportional to 508.56, 701.61 and 311.73 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 701.61 = 311.73 : x
  2. Step 2: Convert to fraction form
    508.56/701.61 = 311.73/x
  3. Step 3: Cross multiply
    508.56x = 701.61 × 311.73
  4. Step 4: Simplify right side
    508.56x = 218,712.89
  5. Step 5: Solve for x
    x = 218,712.89/508.56
  6. Step 6: Final answer
    x = 430.06

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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.