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Finding the Fourth Proportional to 581.76, 872.55 and 490.86

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Solution

The fourth proportional to 581.76, 872.55 and 490.86 is: 736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 872.55 = 490.86 : x
  2. Step 2: Convert to fraction form
    581.76/872.55 = 490.86/x
  3. Step 3: Cross multiply
    581.76x = 872.55 × 490.86
  4. Step 4: Simplify right side
    581.76x = 428,299.89
  5. Step 5: Solve for x
    x = 428,299.89/581.76
  6. Step 6: Final answer
    x = 736.21

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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.