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Finding the Fourth Proportional to 591.69, 816.83 and 458.62

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Solution

The fourth proportional to 591.69, 816.83 and 458.62 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.69 : 816.83 = 458.62 : x
  2. Step 2: Convert to fraction form
    591.69/816.83 = 458.62/x
  3. Step 3: Cross multiply
    591.69x = 816.83 × 458.62
  4. Step 4: Simplify right side
    591.69x = 374,613.68
  5. Step 5: Solve for x
    x = 374,613.68/591.69
  6. Step 6: Final answer
    x = 633.12

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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.