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Finding the Fourth Proportional to 1,312.20, 1,965.24 and 663.48

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Solution

The fourth proportional to 1,312.20, 1,965.24 and 663.48 is: 993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.20 : 1,965.24 = 663.48 : x
  2. Step 2: Convert to fraction form
    1,312.20/1,965.24 = 663.48/x
  3. Step 3: Cross multiply
    1,312.20x = 1,965.24 × 663.48
  4. Step 4: Simplify right side
    1,312.20x = 1,303,897.44
  5. Step 5: Solve for x
    x = 1,303,897.44/1,312.20
  6. Step 6: Final answer
    x = 993.67

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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.