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Finding the Fourth Proportional to 559.64, 839.64 and 271.28

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Solution

The fourth proportional to 559.64, 839.64 and 271.28 is: 407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.64 : 839.64 = 271.28 : x
  2. Step 2: Convert to fraction form
    559.64/839.64 = 271.28/x
  3. Step 3: Cross multiply
    559.64x = 839.64 × 271.28
  4. Step 4: Simplify right side
    559.64x = 227,777.54
  5. Step 5: Solve for x
    x = 227,777.54/559.64
  6. Step 6: Final answer
    x = 407.01

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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.