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Finding the Fourth Proportional to 598.63, 827.43 and 545.98

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Solution

The fourth proportional to 598.63, 827.43 and 545.98 is: 754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.63 : 827.43 = 545.98 : x
  2. Step 2: Convert to fraction form
    598.63/827.43 = 545.98/x
  3. Step 3: Cross multiply
    598.63x = 827.43 × 545.98
  4. Step 4: Simplify right side
    598.63x = 451,760.23
  5. Step 5: Solve for x
    x = 451,760.23/598.63
  6. Step 6: Final answer
    x = 754.66

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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.