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Finding the Fourth Proportional to 661.64, 990.82 and 455.62

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Solution

The fourth proportional to 661.64, 990.82 and 455.62 is: 682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.64 : 990.82 = 455.62 : x
  2. Step 2: Convert to fraction form
    661.64/990.82 = 455.62/x
  3. Step 3: Cross multiply
    661.64x = 990.82 × 455.62
  4. Step 4: Simplify right side
    661.64x = 451,437.41
  5. Step 5: Solve for x
    x = 451,437.41/661.64
  6. Step 6: Final answer
    x = 682.30

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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.