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Finding the Fourth Proportional to 662.40, 1,005.12 and 662.40

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Solution

The fourth proportional to 662.40, 1,005.12 and 662.40 is: 1,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.40 : 1,005.12 = 662.40 : x
  2. Step 2: Convert to fraction form
    662.40/1,005.12 = 662.40/x
  3. Step 3: Cross multiply
    662.40x = 1,005.12 × 662.40
  4. Step 4: Simplify right side
    662.40x = 665,791.49
  5. Step 5: Solve for x
    x = 665,791.49/662.40
  6. Step 6: Final answer
    x = 1,005.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.