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Finding the Fourth Proportional to 825.10, 1,138.64 and 452.09

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Solution

The fourth proportional to 825.10, 1,138.64 and 452.09 is: 623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.10 : 1,138.64 = 452.09 : x
  2. Step 2: Convert to fraction form
    825.10/1,138.64 = 452.09/x
  3. Step 3: Cross multiply
    825.10x = 1,138.64 × 452.09
  4. Step 4: Simplify right side
    825.10x = 514,767.76
  5. Step 5: Solve for x
    x = 514,767.76/825.10
  6. Step 6: Final answer
    x = 623.89

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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.