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Finding the Fourth Proportional to 456.93, 682.11 and 423.14

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Solution

The fourth proportional to 456.93, 682.11 and 423.14 is: 631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 682.11 = 423.14 : x
  2. Step 2: Convert to fraction form
    456.93/682.11 = 423.14/x
  3. Step 3: Cross multiply
    456.93x = 682.11 × 423.14
  4. Step 4: Simplify right side
    456.93x = 288,624.61
  5. Step 5: Solve for x
    x = 288,624.61/456.93
  6. Step 6: Final answer
    x = 631.66

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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.