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Finding the Fourth Proportional to 577.05, 864.28 and 287.88

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Solution

The fourth proportional to 577.05, 864.28 and 287.88 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 864.28 = 287.88 : x
  2. Step 2: Convert to fraction form
    577.05/864.28 = 287.88/x
  3. Step 3: Cross multiply
    577.05x = 864.28 × 287.88
  4. Step 4: Simplify right side
    577.05x = 248,808.93
  5. Step 5: Solve for x
    x = 248,808.93/577.05
  6. Step 6: Final answer
    x = 431.17

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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.