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Finding the Fourth Proportional to 581.24, 869.67 and 418.57

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Solution

The fourth proportional to 581.24, 869.67 and 418.57 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 869.67 = 418.57 : x
  2. Step 2: Convert to fraction form
    581.24/869.67 = 418.57/x
  3. Step 3: Cross multiply
    581.24x = 869.67 × 418.57
  4. Step 4: Simplify right side
    581.24x = 364,015.60
  5. Step 5: Solve for x
    x = 364,015.60/581.24
  6. Step 6: Final answer
    x = 626.27

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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.