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Finding the Fourth Proportional to 428.13, 637.83 and 407.48

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Solution

The fourth proportional to 428.13, 637.83 and 407.48 is: 607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 637.83 = 407.48 : x
  2. Step 2: Convert to fraction form
    428.13/637.83 = 407.48/x
  3. Step 3: Cross multiply
    428.13x = 637.83 × 407.48
  4. Step 4: Simplify right side
    428.13x = 259,899.78
  5. Step 5: Solve for x
    x = 259,899.78/428.13
  6. Step 6: Final answer
    x = 607.06

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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.