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Finding the Fourth Proportional to 456.81, 684.74 and 402.14

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Solution

The fourth proportional to 456.81, 684.74 and 402.14 is: 602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 684.74 = 402.14 : x
  2. Step 2: Convert to fraction form
    456.81/684.74 = 402.14/x
  3. Step 3: Cross multiply
    456.81x = 684.74 × 402.14
  4. Step 4: Simplify right side
    456.81x = 275,355.91
  5. Step 5: Solve for x
    x = 275,355.91/456.81
  6. Step 6: Final answer
    x = 602.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.