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Finding the Fourth Proportional to 823.09, 1,235.99 and 458.59

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Solution

The fourth proportional to 823.09, 1,235.99 and 458.59 is: 688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.09 : 1,235.99 = 458.59 : x
  2. Step 2: Convert to fraction form
    823.09/1,235.99 = 458.59/x
  3. Step 3: Cross multiply
    823.09x = 1,235.99 × 458.59
  4. Step 4: Simplify right side
    823.09x = 566,812.65
  5. Step 5: Solve for x
    x = 566,812.65/823.09
  6. Step 6: Final answer
    x = 688.64

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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.