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Finding the Fourth Proportional to 825.92, 1,238.33 and 435.51

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Solution

The fourth proportional to 825.92, 1,238.33 and 435.51 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.92 : 1,238.33 = 435.51 : x
  2. Step 2: Convert to fraction form
    825.92/1,238.33 = 435.51/x
  3. Step 3: Cross multiply
    825.92x = 1,238.33 × 435.51
  4. Step 4: Simplify right side
    825.92x = 539,310.28
  5. Step 5: Solve for x
    x = 539,310.28/825.92
  6. Step 6: Final answer
    x = 652.98

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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.