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Finding the Fourth Proportional to 563.08, 845.25 and 274.72

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Solution

The fourth proportional to 563.08, 845.25 and 274.72 is: 412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 845.25 = 274.72 : x
  2. Step 2: Convert to fraction form
    563.08/845.25 = 274.72/x
  3. Step 3: Cross multiply
    563.08x = 845.25 × 274.72
  4. Step 4: Simplify right side
    563.08x = 232,207.08
  5. Step 5: Solve for x
    x = 232,207.08/563.08
  6. Step 6: Final answer
    x = 412.39

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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.