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Finding the Fourth Proportional to 662.31, 986.31 and 645.30

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Solution

The fourth proportional to 662.31, 986.31 and 645.30 is: 960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 986.31 = 645.30 : x
  2. Step 2: Convert to fraction form
    662.31/986.31 = 645.30/x
  3. Step 3: Cross multiply
    662.31x = 986.31 × 645.30
  4. Step 4: Simplify right side
    662.31x = 636,465.84
  5. Step 5: Solve for x
    x = 636,465.84/662.31
  6. Step 6: Final answer
    x = 960.98

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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.