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Finding the Fourth Proportional to 661.66, 911.76 and 494.66

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Solution

The fourth proportional to 661.66, 911.76 and 494.66 is: 681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.66 : 911.76 = 494.66 : x
  2. Step 2: Convert to fraction form
    661.66/911.76 = 494.66/x
  3. Step 3: Cross multiply
    661.66x = 911.76 × 494.66
  4. Step 4: Simplify right side
    661.66x = 451,011.63
  5. Step 5: Solve for x
    x = 451,011.63/661.66
  6. Step 6: Final answer
    x = 681.64

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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.