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Finding the Fourth Proportional to 1,631.40, 2,447.12 and 657.40

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Solution

The fourth proportional to 1,631.40, 2,447.12 and 657.40 is: 986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.40 : 2,447.12 = 657.40 : x
  2. Step 2: Convert to fraction form
    1,631.40/2,447.12 = 657.40/x
  3. Step 3: Cross multiply
    1,631.40x = 2,447.12 × 657.40
  4. Step 4: Simplify right side
    1,631.40x = 1,608,736.69
  5. Step 5: Solve for x
    x = 1,608,736.69/1,631.40
  6. Step 6: Final answer
    x = 986.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.