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Finding the Fourth Proportional to 428.02, 589.49 and 401.65

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Solution

The fourth proportional to 428.02, 589.49 and 401.65 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.02 : 589.49 = 401.65 : x
  2. Step 2: Convert to fraction form
    428.02/589.49 = 401.65/x
  3. Step 3: Cross multiply
    428.02x = 589.49 × 401.65
  4. Step 4: Simplify right side
    428.02x = 236,768.66
  5. Step 5: Solve for x
    x = 236,768.66/428.02
  6. Step 6: Final answer
    x = 553.17

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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.