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Finding the Fourth Proportional to 662.12, 992.64 and 456.74

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Solution

The fourth proportional to 662.12, 992.64 and 456.74 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.12 : 992.64 = 456.74 : x
  2. Step 2: Convert to fraction form
    662.12/992.64 = 456.74/x
  3. Step 3: Cross multiply
    662.12x = 992.64 × 456.74
  4. Step 4: Simplify right side
    662.12x = 453,378.39
  5. Step 5: Solve for x
    x = 453,378.39/662.12
  6. Step 6: Final answer
    x = 684.74

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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.