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Finding the Fourth Proportional to 1,216.12, 1,823.91 and 566.50

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Solution

The fourth proportional to 1,216.12, 1,823.91 and 566.50 is: 849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.12 : 1,823.91 = 566.50 : x
  2. Step 2: Convert to fraction form
    1,216.12/1,823.91 = 566.50/x
  3. Step 3: Cross multiply
    1,216.12x = 1,823.91 × 566.50
  4. Step 4: Simplify right side
    1,216.12x = 1,033,245.02
  5. Step 5: Solve for x
    x = 1,033,245.02/1,216.12
  6. Step 6: Final answer
    x = 849.62

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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.