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Finding the Fourth Proportional to 1,370.51, 1,890.83 and 950.75

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Solution

The fourth proportional to 1,370.51, 1,890.83 and 950.75 is: 1,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.51 : 1,890.83 = 950.75 : x
  2. Step 2: Convert to fraction form
    1,370.51/1,890.83 = 950.75/x
  3. Step 3: Cross multiply
    1,370.51x = 1,890.83 × 950.75
  4. Step 4: Simplify right side
    1,370.51x = 1,797,701.87
  5. Step 5: Solve for x
    x = 1,797,701.87/1,370.51
  6. Step 6: Final answer
    x = 1,311.70

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.