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Finding the Fourth Proportional to 834.66, 1,151.10 and 539.64

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Solution

The fourth proportional to 834.66, 1,151.10 and 539.64 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,151.10 = 539.64 : x
  2. Step 2: Convert to fraction form
    834.66/1,151.10 = 539.64/x
  3. Step 3: Cross multiply
    834.66x = 1,151.10 × 539.64
  4. Step 4: Simplify right side
    834.66x = 621,179.60
  5. Step 5: Solve for x
    x = 621,179.60/834.66
  6. Step 6: Final answer
    x = 744.23

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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.