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Finding the Fourth Proportional to 428.13, 637.82 and 407.49

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Solution

The fourth proportional to 428.13, 637.82 and 407.49 is: 607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 637.82 = 407.49 : x
  2. Step 2: Convert to fraction form
    428.13/637.82 = 407.49/x
  3. Step 3: Cross multiply
    428.13x = 637.82 × 407.49
  4. Step 4: Simplify right side
    428.13x = 259,903.23
  5. Step 5: Solve for x
    x = 259,903.23/428.13
  6. Step 6: Final answer
    x = 607.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.