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Finding the Fourth Proportional to 577.02, 864.84 and 268.56

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Solution

The fourth proportional to 577.02, 864.84 and 268.56 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 864.84 = 268.56 : x
  2. Step 2: Convert to fraction form
    577.02/864.84 = 268.56/x
  3. Step 3: Cross multiply
    577.02x = 864.84 × 268.56
  4. Step 4: Simplify right side
    577.02x = 232,261.43
  5. Step 5: Solve for x
    x = 232,261.43/577.02
  6. Step 6: Final answer
    x = 402.52

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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.