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Finding the Fourth Proportional to 656.44, 992.09 and 645.10

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Solution

The fourth proportional to 656.44, 992.09 and 645.10 is: 974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 992.09 = 645.10 : x
  2. Step 2: Convert to fraction form
    656.44/992.09 = 645.10/x
  3. Step 3: Cross multiply
    656.44x = 992.09 × 645.10
  4. Step 4: Simplify right side
    656.44x = 639,996.39
  5. Step 5: Solve for x
    x = 639,996.39/656.44
  6. Step 6: Final answer
    x = 974.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.