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Finding the Fourth Proportional to 882.50, 1,218.12 and 650.30

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Solution

The fourth proportional to 882.50, 1,218.12 and 650.30 is: 897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,218.12 = 650.30 : x
  2. Step 2: Convert to fraction form
    882.50/1,218.12 = 650.30/x
  3. Step 3: Cross multiply
    882.50x = 1,218.12 × 650.30
  4. Step 4: Simplify right side
    882.50x = 792,143.44
  5. Step 5: Solve for x
    x = 792,143.44/882.50
  6. Step 6: Final answer
    x = 897.61

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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.