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Finding the Fourth Proportional to 581.85, 873.99 and 490.73

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Solution

The fourth proportional to 581.85, 873.99 and 490.73 is: 737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 873.99 = 490.73 : x
  2. Step 2: Convert to fraction form
    581.85/873.99 = 490.73/x
  3. Step 3: Cross multiply
    581.85x = 873.99 × 490.73
  4. Step 4: Simplify right side
    581.85x = 428,893.11
  5. Step 5: Solve for x
    x = 428,893.11/581.85
  6. Step 6: Final answer
    x = 737.12

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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.