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Finding the Fourth Proportional to 581.81, 871.77 and 490.46

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Solution

The fourth proportional to 581.81, 871.77 and 490.46 is: 734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.81 : 871.77 = 490.46 : x
  2. Step 2: Convert to fraction form
    581.81/871.77 = 490.46/x
  3. Step 3: Cross multiply
    581.81x = 871.77 × 490.46
  4. Step 4: Simplify right side
    581.81x = 427,568.31
  5. Step 5: Solve for x
    x = 427,568.31/581.81
  6. Step 6: Final answer
    x = 734.89

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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.