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Finding the Fourth Proportional to 428.72, 592.84 and 409.36

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Solution

The fourth proportional to 428.72, 592.84 and 409.36 is: 566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.72 : 592.84 = 409.36 : x
  2. Step 2: Convert to fraction form
    428.72/592.84 = 409.36/x
  3. Step 3: Cross multiply
    428.72x = 592.84 × 409.36
  4. Step 4: Simplify right side
    428.72x = 242,684.98
  5. Step 5: Solve for x
    x = 242,684.98/428.72
  6. Step 6: Final answer
    x = 566.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.