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Finding the Fourth Proportional to 498.92, 749.21 and 307.76

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Solution

The fourth proportional to 498.92, 749.21 and 307.76 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 749.21 = 307.76 : x
  2. Step 2: Convert to fraction form
    498.92/749.21 = 307.76/x
  3. Step 3: Cross multiply
    498.92x = 749.21 × 307.76
  4. Step 4: Simplify right side
    498.92x = 230,571.58
  5. Step 5: Solve for x
    x = 230,571.58/498.92
  6. Step 6: Final answer
    x = 462.15

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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.