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Finding the Fourth Proportional to 428.22, 591.30 and 407.43

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Solution

The fourth proportional to 428.22, 591.30 and 407.43 is: 562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 591.30 = 407.43 : x
  2. Step 2: Convert to fraction form
    428.22/591.30 = 407.43/x
  3. Step 3: Cross multiply
    428.22x = 591.30 × 407.43
  4. Step 4: Simplify right side
    428.22x = 240,913.36
  5. Step 5: Solve for x
    x = 240,913.36/428.22
  6. Step 6: Final answer
    x = 562.59

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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.