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Finding the Fourth Proportional to 816.11, 1,125.46 and 536.58

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Solution

The fourth proportional to 816.11, 1,125.46 and 536.58 is: 739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.11 : 1,125.46 = 536.58 : x
  2. Step 2: Convert to fraction form
    816.11/1,125.46 = 536.58/x
  3. Step 3: Cross multiply
    816.11x = 1,125.46 × 536.58
  4. Step 4: Simplify right side
    816.11x = 603,900.80
  5. Step 5: Solve for x
    x = 603,900.80/816.11
  6. Step 6: Final answer
    x = 739.97

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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.