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Finding the Fourth Proportional to 1,683.74, 2,323.50 and 985.10

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Solution

The fourth proportional to 1,683.74, 2,323.50 and 985.10 is: 1,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.74 : 2,323.50 = 985.10 : x
  2. Step 2: Convert to fraction form
    1,683.74/2,323.50 = 985.10/x
  3. Step 3: Cross multiply
    1,683.74x = 2,323.50 × 985.10
  4. Step 4: Simplify right side
    1,683.74x = 2,288,879.85
  5. Step 5: Solve for x
    x = 2,288,879.85/1,683.74
  6. Step 6: Final answer
    x = 1,359.40

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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.