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Finding the Fourth Proportional to 682.34, 1,021.32 and 498.87

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Solution

The fourth proportional to 682.34, 1,021.32 and 498.87 is: 746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.34 : 1,021.32 = 498.87 : x
  2. Step 2: Convert to fraction form
    682.34/1,021.32 = 498.87/x
  3. Step 3: Cross multiply
    682.34x = 1,021.32 × 498.87
  4. Step 4: Simplify right side
    682.34x = 509,505.91
  5. Step 5: Solve for x
    x = 509,505.91/682.34
  6. Step 6: Final answer
    x = 746.71

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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.