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Finding the Fourth Proportional to 558.06, 833.84 and 538.62

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Solution

The fourth proportional to 558.06, 833.84 and 538.62 is: 804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.06 : 833.84 = 538.62 : x
  2. Step 2: Convert to fraction form
    558.06/833.84 = 538.62/x
  3. Step 3: Cross multiply
    558.06x = 833.84 × 538.62
  4. Step 4: Simplify right side
    558.06x = 449,122.90
  5. Step 5: Solve for x
    x = 449,122.90/558.06
  6. Step 6: Final answer
    x = 804.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.