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Finding the Fourth Proportional to 665.73, 990.14 and 651.89

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Solution

The fourth proportional to 665.73, 990.14 and 651.89 is: 969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.73 : 990.14 = 651.89 : x
  2. Step 2: Convert to fraction form
    665.73/990.14 = 651.89/x
  3. Step 3: Cross multiply
    665.73x = 990.14 × 651.89
  4. Step 4: Simplify right side
    665.73x = 645,459.66
  5. Step 5: Solve for x
    x = 645,459.66/665.73
  6. Step 6: Final answer
    x = 969.56

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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.