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Finding the Fourth Proportional to 1,312.62, 1,969.71 and 663.42

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Solution

The fourth proportional to 1,312.62, 1,969.71 and 663.42 is: 995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.62 : 1,969.71 = 663.42 : x
  2. Step 2: Convert to fraction form
    1,312.62/1,969.71 = 663.42/x
  3. Step 3: Cross multiply
    1,312.62x = 1,969.71 × 663.42
  4. Step 4: Simplify right side
    1,312.62x = 1,306,745.01
  5. Step 5: Solve for x
    x = 1,306,745.01/1,312.62
  6. Step 6: Final answer
    x = 995.52

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1.5x scale

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.