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Finding the Fourth Proportional to 499.88, 749.34 and 316.82

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Solution

The fourth proportional to 499.88, 749.34 and 316.82 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.88 : 749.34 = 316.82 : x
  2. Step 2: Convert to fraction form
    499.88/749.34 = 316.82/x
  3. Step 3: Cross multiply
    499.88x = 749.34 × 316.82
  4. Step 4: Simplify right side
    499.88x = 237,405.90
  5. Step 5: Solve for x
    x = 237,405.90/499.88
  6. Step 6: Final answer
    x = 474.93

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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.