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Finding the Fourth Proportional to 581.62, 873.06 and 418.78

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Solution

The fourth proportional to 581.62, 873.06 and 418.78 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.62 : 873.06 = 418.78 : x
  2. Step 2: Convert to fraction form
    581.62/873.06 = 418.78/x
  3. Step 3: Cross multiply
    581.62x = 873.06 × 418.78
  4. Step 4: Simplify right side
    581.62x = 365,620.07
  5. Step 5: Solve for x
    x = 365,620.07/581.62
  6. Step 6: Final answer
    x = 628.62

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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.