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Finding the Fourth Proportional to 1,216.90, 1,825.11 and 558.58

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Solution

The fourth proportional to 1,216.90, 1,825.11 and 558.58 is: 837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.90 : 1,825.11 = 558.58 : x
  2. Step 2: Convert to fraction form
    1,216.90/1,825.11 = 558.58/x
  3. Step 3: Cross multiply
    1,216.90x = 1,825.11 × 558.58
  4. Step 4: Simplify right side
    1,216.90x = 1,019,469.94
  5. Step 5: Solve for x
    x = 1,019,469.94/1,216.90
  6. Step 6: Final answer
    x = 837.76

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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.