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Finding the Fourth Proportional to 561.67, 842.12 and 287.54

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Solution

The fourth proportional to 561.67, 842.12 and 287.54 is: 431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.67 : 842.12 = 287.54 : x
  2. Step 2: Convert to fraction form
    561.67/842.12 = 287.54/x
  3. Step 3: Cross multiply
    561.67x = 842.12 × 287.54
  4. Step 4: Simplify right side
    561.67x = 242,141.80
  5. Step 5: Solve for x
    x = 242,141.80/561.67
  6. Step 6: Final answer
    x = 431.11

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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.