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Finding the Fourth Proportional to 1,216.21, 1,823.22 and 566.59

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Solution

The fourth proportional to 1,216.21, 1,823.22 and 566.59 is: 849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.21 : 1,823.22 = 566.59 : x
  2. Step 2: Convert to fraction form
    1,216.21/1,823.22 = 566.59/x
  3. Step 3: Cross multiply
    1,216.21x = 1,823.22 × 566.59
  4. Step 4: Simplify right side
    1,216.21x = 1,033,018.22
  5. Step 5: Solve for x
    x = 1,033,018.22/1,216.21
  6. Step 6: Final answer
    x = 849.37

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1.5x scale

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.