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Finding the Fourth Proportional to 1,317.96, 1,976.94 and 883.80

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Solution

The fourth proportional to 1,317.96, 1,976.94 and 883.80 is: 1,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,976.94 = 883.80 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,976.94 = 883.80/x
  3. Step 3: Cross multiply
    1,317.96x = 1,976.94 × 883.80
  4. Step 4: Simplify right side
    1,317.96x = 1,747,219.57
  5. Step 5: Solve for x
    x = 1,747,219.57/1,317.96
  6. Step 6: Final answer
    x = 1,325.70

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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.