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Finding the Fourth Proportional to 559.53, 836.81 and 498.28

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Solution

The fourth proportional to 559.53, 836.81 and 498.28 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.53 : 836.81 = 498.28 : x
  2. Step 2: Convert to fraction form
    559.53/836.81 = 498.28/x
  3. Step 3: Cross multiply
    559.53x = 836.81 × 498.28
  4. Step 4: Simplify right side
    559.53x = 416,965.69
  5. Step 5: Solve for x
    x = 416,965.69/559.53
  6. Step 6: Final answer
    x = 745.21

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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.