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Finding the Fourth Proportional to 561.53, 843.50 and 543.08

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Solution

The fourth proportional to 561.53, 843.50 and 543.08 is: 815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.53 : 843.50 = 543.08 : x
  2. Step 2: Convert to fraction form
    561.53/843.50 = 543.08/x
  3. Step 3: Cross multiply
    561.53x = 843.50 × 543.08
  4. Step 4: Simplify right side
    561.53x = 458,091.45
  5. Step 5: Solve for x
    x = 458,091.45/561.53
  6. Step 6: Final answer
    x = 815.79

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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.