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Finding the Fourth Proportional to 1,312.27, 1,969.63 and 663.46

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Solution

The fourth proportional to 1,312.27, 1,969.63 and 663.46 is: 995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.27 : 1,969.63 = 663.46 : x
  2. Step 2: Convert to fraction form
    1,312.27/1,969.63 = 663.46/x
  3. Step 3: Cross multiply
    1,312.27x = 1,969.63 × 663.46
  4. Step 4: Simplify right side
    1,312.27x = 1,306,767.40
  5. Step 5: Solve for x
    x = 1,306,767.40/1,312.27
  6. Step 6: Final answer
    x = 995.81

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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.