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Finding the Fourth Proportional to 1,309.96, 1,964.93 and 659.93

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Solution

The fourth proportional to 1,309.96, 1,964.93 and 659.93 is: 989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.96 : 1,964.93 = 659.93 : x
  2. Step 2: Convert to fraction form
    1,309.96/1,964.93 = 659.93/x
  3. Step 3: Cross multiply
    1,309.96x = 1,964.93 × 659.93
  4. Step 4: Simplify right side
    1,309.96x = 1,296,719.75
  5. Step 5: Solve for x
    x = 1,296,719.75/1,309.96
  6. Step 6: Final answer
    x = 989.90

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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.