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Finding the Fourth Proportional to 598.80, 827.46 and 539.76

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Solution

The fourth proportional to 598.80, 827.46 and 539.76 is: 745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 827.46 = 539.76 : x
  2. Step 2: Convert to fraction form
    598.80/827.46 = 539.76/x
  3. Step 3: Cross multiply
    598.80x = 827.46 × 539.76
  4. Step 4: Simplify right side
    598.80x = 446,629.81
  5. Step 5: Solve for x
    x = 446,629.81/598.80
  6. Step 6: Final answer
    x = 745.87

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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.