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Finding the Fourth Proportional to 561.27, 843.29 and 530.19

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Solution

The fourth proportional to 561.27, 843.29 and 530.19 is: 796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.27 : 843.29 = 530.19 : x
  2. Step 2: Convert to fraction form
    561.27/843.29 = 530.19/x
  3. Step 3: Cross multiply
    561.27x = 843.29 × 530.19
  4. Step 4: Simplify right side
    561.27x = 447,101.27
  5. Step 5: Solve for x
    x = 447,101.27/561.27
  6. Step 6: Final answer
    x = 796.59

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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.