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Finding the Fourth Proportional to 558.27, 832.34 and 543.84

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Solution

The fourth proportional to 558.27, 832.34 and 543.84 is: 810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.27 : 832.34 = 543.84 : x
  2. Step 2: Convert to fraction form
    558.27/832.34 = 543.84/x
  3. Step 3: Cross multiply
    558.27x = 832.34 × 543.84
  4. Step 4: Simplify right side
    558.27x = 452,657.07
  5. Step 5: Solve for x
    x = 452,657.07/558.27
  6. Step 6: Final answer
    x = 810.82

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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.