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Finding the Fourth Proportional to 825.94, 1,237.30 and 459.62

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Solution

The fourth proportional to 825.94, 1,237.30 and 459.62 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.94 : 1,237.30 = 459.62 : x
  2. Step 2: Convert to fraction form
    825.94/1,237.30 = 459.62/x
  3. Step 3: Cross multiply
    825.94x = 1,237.30 × 459.62
  4. Step 4: Simplify right side
    825.94x = 568,679.34
  5. Step 5: Solve for x
    x = 568,679.34/825.94
  6. Step 6: Final answer
    x = 688.53

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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.