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Finding the Fourth Proportional to 1,312.67, 1,968.60 and 663.23

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Solution

The fourth proportional to 1,312.67, 1,968.60 and 663.23 is: 994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.67 : 1,968.60 = 663.23 : x
  2. Step 2: Convert to fraction form
    1,312.67/1,968.60 = 663.23/x
  3. Step 3: Cross multiply
    1,312.67x = 1,968.60 × 663.23
  4. Step 4: Simplify right side
    1,312.67x = 1,305,634.58
  5. Step 5: Solve for x
    x = 1,305,634.58/1,312.67
  6. Step 6: Final answer
    x = 994.64

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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.