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Finding the Fourth Proportional to 577.67, 864.88 and 440.15

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Solution

The fourth proportional to 577.67, 864.88 and 440.15 is: 658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.67 : 864.88 = 440.15 : x
  2. Step 2: Convert to fraction form
    577.67/864.88 = 440.15/x
  3. Step 3: Cross multiply
    577.67x = 864.88 × 440.15
  4. Step 4: Simplify right side
    577.67x = 380,676.93
  5. Step 5: Solve for x
    x = 380,676.93/577.67
  6. Step 6: Final answer
    x = 658.99

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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.