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Finding the Fourth Proportional to 581.94, 872.65 and 418.94

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Solution

The fourth proportional to 581.94, 872.65 and 418.94 is: 628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 872.65 = 418.94 : x
  2. Step 2: Convert to fraction form
    581.94/872.65 = 418.94/x
  3. Step 3: Cross multiply
    581.94x = 872.65 × 418.94
  4. Step 4: Simplify right side
    581.94x = 365,585.90
  5. Step 5: Solve for x
    x = 365,585.90/581.94
  6. Step 6: Final answer
    x = 628.22

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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.