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Finding the Fourth Proportional to 579.62, 866.24 and 423.77

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Solution

The fourth proportional to 579.62, 866.24 and 423.77 is: 633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.62 : 866.24 = 423.77 : x
  2. Step 2: Convert to fraction form
    579.62/866.24 = 423.77/x
  3. Step 3: Cross multiply
    579.62x = 866.24 × 423.77
  4. Step 4: Simplify right side
    579.62x = 367,085.47
  5. Step 5: Solve for x
    x = 367,085.47/579.62
  6. Step 6: Final answer
    x = 633.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.