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Finding the Fourth Proportional to 663.40, 1,006.64 and 663.40

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Solution

The fourth proportional to 663.40, 1,006.64 and 663.40 is: 1,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.40 : 1,006.64 = 663.40 : x
  2. Step 2: Convert to fraction form
    663.40/1,006.64 = 663.40/x
  3. Step 3: Cross multiply
    663.40x = 1,006.64 × 663.40
  4. Step 4: Simplify right side
    663.40x = 667,804.98
  5. Step 5: Solve for x
    x = 667,804.98/663.40
  6. Step 6: Final answer
    x = 1,006.64

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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.