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Finding the Fourth Proportional to 1,323.99, 1,983.56 and 957.87

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Solution

The fourth proportional to 1,323.99, 1,983.56 and 957.87 is: 1,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.99 : 1,983.56 = 957.87 : x
  2. Step 2: Convert to fraction form
    1,323.99/1,983.56 = 957.87/x
  3. Step 3: Cross multiply
    1,323.99x = 1,983.56 × 957.87
  4. Step 4: Simplify right side
    1,323.99x = 1,899,987.83
  5. Step 5: Solve for x
    x = 1,899,987.83/1,323.99
  6. Step 6: Final answer
    x = 1,435.05

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Double scale
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Similar ratio
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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.