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Finding the Fourth Proportional to 577.58, 865.46 and 440.21

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Solution

The fourth proportional to 577.58, 865.46 and 440.21 is: 659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 865.46 = 440.21 : x
  2. Step 2: Convert to fraction form
    577.58/865.46 = 440.21/x
  3. Step 3: Cross multiply
    577.58x = 865.46 × 440.21
  4. Step 4: Simplify right side
    577.58x = 380,977.62
  5. Step 5: Solve for x
    x = 380,977.62/577.58
  6. Step 6: Final answer
    x = 659.62

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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.