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Finding the Fourth Proportional to 581.26, 873.16 and 561.82

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Solution

The fourth proportional to 581.26, 873.16 and 561.82 is: 843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.26 : 873.16 = 561.82 : x
  2. Step 2: Convert to fraction form
    581.26/873.16 = 561.82/x
  3. Step 3: Cross multiply
    581.26x = 873.16 × 561.82
  4. Step 4: Simplify right side
    581.26x = 490,558.75
  5. Step 5: Solve for x
    x = 490,558.75/581.26
  6. Step 6: Final answer
    x = 843.96

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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.